Young tableaux :: with applications to representation theory and geometry /
The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1997.
|
Schriftenreihe: | London Mathematical Society student texts ;
35. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form. There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow. |
Beschreibung: | 1 online resource (ix, 260 pages) : illustrations |
Bibliographie: | Includes bibliographical references (pages 248-253) and indexes. |
ISBN: | 9780511626241 051162624X 9781107088931 1107088933 9781107095120 1107095123 |
Internformat
MARC
LEADER | 00000cam a2200000 a 4500 | ||
---|---|---|---|
001 | ZDB-4-EBA-ocn817935690 | ||
003 | OCoLC | ||
005 | 20241004212047.0 | ||
006 | m o d | ||
007 | cr cnu---unuuu | ||
008 | 121114s1997 enka ob 001 0 eng d | ||
040 | |a CAMBR |b eng |e pn |c CAMBR |d N$T |d E7B |d OCLCF |d YDXCP |d OCLCQ |d EBLCP |d DEBSZ |d OCLCQ |d AGLDB |d YDX |d OCLCO |d OCLCQ |d UAB |d OCLCO |d OCLCQ |d VTS |d REC |d OCLCO |d AU@ |d OCLCO |d M8D |d UKAHL |d OCLCQ |d OCLCO |d OCLCQ |d CUS |d INARC |d AJS |d SFB |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ | ||
019 | |a 852898458 |a 853360394 |a 985322000 |a 1151875033 | ||
020 | |a 9780511626241 |q (electronic bk.) | ||
020 | |a 051162624X |q (electronic bk.) | ||
020 | |a 9781107088931 |q (electronic bk.) | ||
020 | |a 1107088933 |q (electronic bk.) | ||
020 | |a 9781107095120 | ||
020 | |a 1107095123 | ||
020 | |z 0521561442 | ||
020 | |z 9780521561440 | ||
020 | |z 0521567246 | ||
020 | |z 9780521567244 | ||
035 | |a (OCoLC)817935690 |z (OCoLC)852898458 |z (OCoLC)853360394 |z (OCoLC)985322000 |z (OCoLC)1151875033 | ||
050 | 4 | |a QA165 |b .F83 1997eb | |
072 | 7 | |a MAT |x 014000 |2 bisacsh | |
080 | |a 512.547 | ||
080 | |a 519.1 | ||
082 | 7 | |a 512.2 |2 22 | |
084 | |a 31.12 |2 bcl | ||
084 | |a 05 |2 msc | ||
084 | |a 05.01 |2 msc | ||
084 | |a 05E10 |2 msc | ||
084 | |a 05E05 |2 msc | ||
084 | |a 14M |2 msc | ||
084 | |a 20C30 |2 msc | ||
084 | |a SK 170 |2 rvk | ||
084 | |a SK 260 |2 rvk | ||
084 | |a SK 180 |2 rvk | ||
049 | |a MAIN | ||
100 | 1 | |a Fulton, William, |d 1939- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJpDJQVv7M4gtCtDgWCYT3 |0 http://id.loc.gov/authorities/names/n81016587 | |
245 | 1 | 0 | |a Young tableaux : |b with applications to representation theory and geometry / |c William Fulton. |
260 | |a Cambridge [England] ; |a New York : |b Cambridge University Press, |c 1997. | ||
300 | |a 1 online resource (ix, 260 pages) : |b illustrations | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a London Mathematical Society student texts ; |v 35 | |
504 | |a Includes bibliographical references (pages 248-253) and indexes. | ||
588 | 0 | |a Print version record. | |
520 | |a The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form. There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow. | ||
505 | 0 | |a pt. I. Calculus of tableaux -- pt. II. Representation theory -- pt. III. Geometry. | |
650 | 0 | |a Young tableaux. |0 http://id.loc.gov/authorities/subjects/sh85149294 | |
650 | 6 | |a Young, Tableaux de. | |
650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
650 | 7 | |a Young tableaux |2 fast | |
650 | 7 | |a Youngsches Schema |2 gnd |0 http://d-nb.info/gnd/4190430-8 | |
650 | 7 | |a Youngsches Tableau |2 gnd |0 http://d-nb.info/gnd/4190432-1 | |
650 | 1 | 7 | |a Combinatieleer. |2 gtt |
650 | 7 | |a Young, Tableaux de. |2 ram | |
650 | 7 | |a Grupperepresentasjon. |2 tekord | |
650 | 7 | |a Kombinatorikk. |2 tekord | |
758 | |i has work: |a Young tableaux (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGtQbXWyQ3HKhF4D7YVDMP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
776 | 0 | 8 | |i Print version: |a Fulton, William, 1939- |t Young tableaux. |d Cambridge [England] ; New York : Cambridge University Press, 1997 |z 0521561442 |w (DLC) 95047484 |w (OCoLC)33439772 |
830 | 0 | |a London Mathematical Society student texts ; |v 35. |w (OCoLC)789370672 |0 http://id.loc.gov/authorities/names/n84727069 | |
856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570403 |3 Volltext |
938 | |a Askews and Holts Library Services |b ASKH |n AH26478695 | ||
938 | |a ProQuest Ebook Central |b EBLB |n EBL1179042 | ||
938 | |a ebrary |b EBRY |n ebr10733624 | ||
938 | |a EBSCOhost |b EBSC |n 570403 | ||
938 | |a Internet Archive |b INAR |n youngtableauxwit0000fult | ||
938 | |a YBP Library Services |b YANK |n 10866274 | ||
938 | |a YBP Library Services |b YANK |n 10869771 | ||
938 | |a YBP Library Services |b YANK |n 9246242 | ||
938 | |a YBP Library Services |b YANK |n 10862034 | ||
994 | |a 92 |b GEBAY | ||
912 | |a ZDB-4-EBA | ||
049 | |a DE-863 |
Datensatz im Suchindex
DE-BY-FWS_katkey | ZDB-4-EBA-ocn817935690 |
---|---|
_version_ | 1816882214018744321 |
adam_text | |
any_adam_object | |
author | Fulton, William, 1939- |
author_GND | http://id.loc.gov/authorities/names/n81016587 |
author_facet | Fulton, William, 1939- |
author_role | aut |
author_sort | Fulton, William, 1939- |
author_variant | w f wf |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
callnumber-label | QA165 |
callnumber-raw | QA165 .F83 1997eb |
callnumber-search | QA165 .F83 1997eb |
callnumber-sort | QA 3165 F83 41997EB |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 170 SK 260 SK 180 |
collection | ZDB-4-EBA |
contents | pt. I. Calculus of tableaux -- pt. II. Representation theory -- pt. III. Geometry. |
ctrlnum | (OCoLC)817935690 |
dewey-full | 512.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.2 |
dewey-search | 512.2 |
dewey-sort | 3512.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04828cam a2200877 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn817935690</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">121114s1997 enka ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">CAMBR</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">CAMBR</subfield><subfield code="d">N$T</subfield><subfield code="d">E7B</subfield><subfield code="d">OCLCF</subfield><subfield code="d">YDXCP</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">EBLCP</subfield><subfield code="d">DEBSZ</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">YDX</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">UAB</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">REC</subfield><subfield code="d">OCLCO</subfield><subfield code="d">AU@</subfield><subfield code="d">OCLCO</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">CUS</subfield><subfield code="d">INARC</subfield><subfield code="d">AJS</subfield><subfield code="d">SFB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">852898458</subfield><subfield code="a">853360394</subfield><subfield code="a">985322000</subfield><subfield code="a">1151875033</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511626241</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">051162624X</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107088931</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107088933</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107095120</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1107095123</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521561442</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521561440</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0521567246</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780521567244</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)817935690</subfield><subfield code="z">(OCoLC)852898458</subfield><subfield code="z">(OCoLC)853360394</subfield><subfield code="z">(OCoLC)985322000</subfield><subfield code="z">(OCoLC)1151875033</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA165</subfield><subfield code="b">.F83 1997eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">014000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="080" ind1=" " ind2=" "><subfield code="a">512.547</subfield></datafield><datafield tag="080" ind1=" " ind2=" "><subfield code="a">519.1</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">512.2</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.12</subfield><subfield code="2">bcl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05.01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05E10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">05E05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14M</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">20C30</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 170</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 260</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 180</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Fulton, William,</subfield><subfield code="d">1939-</subfield><subfield code="e">author.</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJpDJQVv7M4gtCtDgWCYT3</subfield><subfield code="0">http://id.loc.gov/authorities/names/n81016587</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Young tableaux :</subfield><subfield code="b">with applications to representation theory and geometry /</subfield><subfield code="c">William Fulton.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Cambridge [England] ;</subfield><subfield code="a">New York :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">1997.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (ix, 260 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">London Mathematical Society student texts ;</subfield><subfield code="v">35</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 248-253) and indexes.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form. There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">pt. I. Calculus of tableaux -- pt. II. Representation theory -- pt. III. Geometry.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Young tableaux.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85149294</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Young, Tableaux de.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Group Theory.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Young tableaux</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Youngsches Schema</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4190430-8</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Youngsches Tableau</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4190432-1</subfield></datafield><datafield tag="650" ind1="1" ind2="7"><subfield code="a">Combinatieleer.</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Young, Tableaux de.</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Grupperepresentasjon.</subfield><subfield code="2">tekord</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Kombinatorikk.</subfield><subfield code="2">tekord</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Young tableaux (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGtQbXWyQ3HKhF4D7YVDMP</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Fulton, William, 1939-</subfield><subfield code="t">Young tableaux.</subfield><subfield code="d">Cambridge [England] ; New York : Cambridge University Press, 1997</subfield><subfield code="z">0521561442</subfield><subfield code="w">(DLC) 95047484</subfield><subfield code="w">(OCoLC)33439772</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society student texts ;</subfield><subfield code="v">35.</subfield><subfield code="w">(OCoLC)789370672</subfield><subfield code="0">http://id.loc.gov/authorities/names/n84727069</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570403</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH26478695</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL1179042</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10733624</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">570403</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Internet Archive</subfield><subfield code="b">INAR</subfield><subfield code="n">youngtableauxwit0000fult</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10866274</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10869771</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9246242</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">10862034</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
id | ZDB-4-EBA-ocn817935690 |
illustrated | Illustrated |
indexdate | 2024-11-27T13:25:03Z |
institution | BVB |
isbn | 9780511626241 051162624X 9781107088931 1107088933 9781107095120 1107095123 |
language | English |
oclc_num | 817935690 |
open_access_boolean | |
owner | MAIN DE-863 DE-BY-FWS |
owner_facet | MAIN DE-863 DE-BY-FWS |
physical | 1 online resource (ix, 260 pages) : illustrations |
psigel | ZDB-4-EBA |
publishDate | 1997 |
publishDateSearch | 1997 |
publishDateSort | 1997 |
publisher | Cambridge University Press, |
record_format | marc |
series | London Mathematical Society student texts ; |
series2 | London Mathematical Society student texts ; |
spelling | Fulton, William, 1939- author. https://id.oclc.org/worldcat/entity/E39PBJpDJQVv7M4gtCtDgWCYT3 http://id.loc.gov/authorities/names/n81016587 Young tableaux : with applications to representation theory and geometry / William Fulton. Cambridge [England] ; New York : Cambridge University Press, 1997. 1 online resource (ix, 260 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society student texts ; 35 Includes bibliographical references (pages 248-253) and indexes. Print version record. The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form. There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow. pt. I. Calculus of tableaux -- pt. II. Representation theory -- pt. III. Geometry. Young tableaux. http://id.loc.gov/authorities/subjects/sh85149294 Young, Tableaux de. MATHEMATICS Group Theory. bisacsh Young tableaux fast Youngsches Schema gnd http://d-nb.info/gnd/4190430-8 Youngsches Tableau gnd http://d-nb.info/gnd/4190432-1 Combinatieleer. gtt Young, Tableaux de. ram Grupperepresentasjon. tekord Kombinatorikk. tekord has work: Young tableaux (Text) https://id.oclc.org/worldcat/entity/E39PCGtQbXWyQ3HKhF4D7YVDMP https://id.oclc.org/worldcat/ontology/hasWork Print version: Fulton, William, 1939- Young tableaux. Cambridge [England] ; New York : Cambridge University Press, 1997 0521561442 (DLC) 95047484 (OCoLC)33439772 London Mathematical Society student texts ; 35. (OCoLC)789370672 http://id.loc.gov/authorities/names/n84727069 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570403 Volltext |
spellingShingle | Fulton, William, 1939- Young tableaux : with applications to representation theory and geometry / London Mathematical Society student texts ; pt. I. Calculus of tableaux -- pt. II. Representation theory -- pt. III. Geometry. Young tableaux. http://id.loc.gov/authorities/subjects/sh85149294 Young, Tableaux de. MATHEMATICS Group Theory. bisacsh Young tableaux fast Youngsches Schema gnd http://d-nb.info/gnd/4190430-8 Youngsches Tableau gnd http://d-nb.info/gnd/4190432-1 Combinatieleer. gtt Young, Tableaux de. ram Grupperepresentasjon. tekord Kombinatorikk. tekord |
subject_GND | http://id.loc.gov/authorities/subjects/sh85149294 http://d-nb.info/gnd/4190430-8 http://d-nb.info/gnd/4190432-1 |
title | Young tableaux : with applications to representation theory and geometry / |
title_auth | Young tableaux : with applications to representation theory and geometry / |
title_exact_search | Young tableaux : with applications to representation theory and geometry / |
title_full | Young tableaux : with applications to representation theory and geometry / William Fulton. |
title_fullStr | Young tableaux : with applications to representation theory and geometry / William Fulton. |
title_full_unstemmed | Young tableaux : with applications to representation theory and geometry / William Fulton. |
title_short | Young tableaux : |
title_sort | young tableaux with applications to representation theory and geometry |
title_sub | with applications to representation theory and geometry / |
topic | Young tableaux. http://id.loc.gov/authorities/subjects/sh85149294 Young, Tableaux de. MATHEMATICS Group Theory. bisacsh Young tableaux fast Youngsches Schema gnd http://d-nb.info/gnd/4190430-8 Youngsches Tableau gnd http://d-nb.info/gnd/4190432-1 Combinatieleer. gtt Young, Tableaux de. ram Grupperepresentasjon. tekord Kombinatorikk. tekord |
topic_facet | Young tableaux. Young, Tableaux de. MATHEMATICS Group Theory. Young tableaux Youngsches Schema Youngsches Tableau Combinatieleer. Grupperepresentasjon. Kombinatorikk. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=570403 |
volume_link | (OCoLC)789370672 |
work_keys_str_mv | AT fultonwilliam youngtableauxwithapplicationstorepresentationtheoryandgeometry |