Linear Algebraic Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1991
|
| Ausgabe: | Second Enlarged Edition |
| Schriftenreihe: | Graduate Texts in Mathematics
126 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs |
| Beschreibung: | 1 Online-Ressource (XI, 290 p) |
| ISBN: | 9781461209416 9781461269540 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4612-0941-6 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV042419683 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150317s1991 |||| o||u| ||||||eng d | ||
| 020 | |a 9781461209416 |c Online |9 978-1-4612-0941-6 | ||
| 020 | |a 9781461269540 |c Print |9 978-1-4612-6954-0 | ||
| 024 | 7 | |a 10.1007/978-1-4612-0941-6 |2 doi | |
| 035 | |a (OCoLC)1184438435 | ||
| 035 | |a (DE-599)BVBBV042419683 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
| 082 | 0 | |a 512.55 |2 23 | |
| 082 | 0 | |a 512.482 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Borel, Armand |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear Algebraic Groups |c by Armand Borel |
| 250 | |a Second Enlarged Edition | ||
| 264 | 1 | |a New York, NY |b Springer New York |c 1991 | |
| 300 | |a 1 Online-Ressource (XI, 290 p) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Graduate Texts in Mathematics |v 126 |x 0072-5285 | |
| 500 | |a This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Topological Groups | |
| 650 | 4 | |a Topological Groups, Lie Groups | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Lineare algebraische Gruppe |0 (DE-588)4295326-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Gruppe |0 (DE-588)4001164-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineare algebraische Gruppe |0 (DE-588)4295326-1 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraische Gruppe |0 (DE-588)4001164-1 |D s |
| 689 | 1 | |8 2\p |5 DE-604 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4612-0941-6 |x Verlag |3 Volltext |
| 912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
| 940 | 1 | |q ZDB-2-SMA_Archive | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027855100 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804153090611347456 |
|---|---|
| any_adam_object | |
| author | Borel, Armand |
| author_facet | Borel, Armand |
| author_role | aut |
| author_sort | Borel, Armand |
| author_variant | a b ab |
| building | Verbundindex |
| bvnumber | BV042419683 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184438435 (DE-599)BVBBV042419683 |
| dewey-full | 512.55 512.482 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 512.482 |
| dewey-search | 512.55 512.482 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-0941-6 |
| edition | Second Enlarged Edition |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02794nmm a2200529zcb4500</leader><controlfield tag="001">BV042419683</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1991 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461209416</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4612-0941-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781461269540</subfield><subfield code="c">Print</subfield><subfield code="9">978-1-4612-6954-0</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4612-0941-6</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1184438435</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042419683</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.55</subfield><subfield code="2">23</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.482</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Borel, Armand</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Linear Algebraic Groups</subfield><subfield code="c">by Armand Borel</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second Enlarged Edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1991</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XI, 290 p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Graduate Texts in Mathematics</subfield><subfield code="v">126</subfield><subfield code="x">0072-5285</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological Groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Topological Groups, Lie Groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare algebraische Gruppe</subfield><subfield code="0">(DE-588)4295326-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Gruppe</subfield><subfield code="0">(DE-588)4001164-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Lineare algebraische Gruppe</subfield><subfield code="0">(DE-588)4295326-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Algebraische Gruppe</subfield><subfield code="0">(DE-588)4001164-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4612-0941-6</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027855100</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV042419683 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461209416 9781461269540 |
| issn | 0072-5285 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855100 |
| oclc_num | 1184438435 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XI, 290 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Graduate Texts in Mathematics |
| spelling | Borel, Armand Verfasser aut Linear Algebraic Groups by Armand Borel Second Enlarged Edition New York, NY Springer New York 1991 1 Online-Ressource (XI, 290 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 126 0072-5285 This book is a revised and enlarged edition of "Linear Algebraic Groups", published by W.A. Benjamin in 1969. The text of the first edition has been corrected and revised. Accordingly, this book presents foundational material on algebraic groups, Lie algebras, transformation spaces, and quotient spaces. After establishing these basic topics, the text then turns to solvable groups, general properties of linear algebraic groups and Chevally's structure theory of reductive groups over algebraically closed groundfields. The remainder of the book is devoted to rationality questions over non-algebraically closed fields. This second edition has been expanded to include material on central isogenies and the structure of the group of rational points of an isotropic reductive group. The main prerequisite is some familiarity with algebraic geometry. The main notions and results needed are summarized in a chapter with references and brief proofs Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 s 1\p DE-604 Algebraische Gruppe (DE-588)4001164-1 s 2\p DE-604 https://doi.org/10.1007/978-1-4612-0941-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Borel, Armand Linear Algebraic Groups Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Lineare algebraische Gruppe (DE-588)4295326-1 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
| subject_GND | (DE-588)4295326-1 (DE-588)4001164-1 |
| title | Linear Algebraic Groups |
| title_auth | Linear Algebraic Groups |
| title_exact_search | Linear Algebraic Groups |
| title_full | Linear Algebraic Groups by Armand Borel |
| title_fullStr | Linear Algebraic Groups by Armand Borel |
| title_full_unstemmed | Linear Algebraic Groups by Armand Borel |
| title_short | Linear Algebraic Groups |
| title_sort | linear algebraic groups |
| topic | Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Lineare algebraische Gruppe (DE-588)4295326-1 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
| topic_facet | Mathematics Topological Groups Topological Groups, Lie Groups Mathematik Lineare algebraische Gruppe Algebraische Gruppe |
| url | https://doi.org/10.1007/978-1-4612-0941-6 |
| work_keys_str_mv | AT borelarmand linearalgebraicgroups |