Imaginary Schur-Weyl duality:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
January 2017
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
1157 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xvii, 83 Seiten |
| ISBN: | 9781470422493 |
Internformat
MARC
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| 100 | 1 | |a Kleščev, Aleksandr S. |d 1966- |0 (DE-588)136718264 |4 aut | |
| 245 | 1 | 0 | |a Imaginary Schur-Weyl duality |c Alexander Kleshchev, Robert Muth |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c January 2017 | |
| 300 | |a xvii, 83 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 245, number 1157 (2nd of 6 numbers) | |
| 650 | 0 | 7 | |a Lie-Algebra |0 (DE-588)4130355-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Dualitätstheorie |0 (DE-588)4150801-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Dualitätstheorie |0 (DE-588)4150801-4 |D s |
| 689 | 0 | 1 | |a Lie-Algebra |0 (DE-588)4130355-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Muth, Robert |d 1978- |0 (DE-588)1124471324 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-3603-2 |
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 1157 |w (DE-604)BV008000141 |9 1157 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029453332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029453332 | ||
Datensatz im Suchindex
| _version_ | 1804177060807049216 |
|---|---|
| adam_text | MEMOIRS
AMERICAN
MATHEMATICAL
SOCIETY
VOLUME
245
YY
NUMBER
1157
(SECOND
OF
6
NUMBERS)
YY
JANUARY
2017
IMAGINARY
SCHUR-WEYL
DUALITY
ALEXANDER
KLESHCHEV
ROBERT
MUTH
ISSN0065-9266
(PRINT)
ISSN
1947-6221
(ONLINE)
AMERICAN
MATHEMATICAL
SOCIETY
PROVIDENCE,
RHODE
ISLAND
CONTENTS
CHAPTER
1.
INTRODUCTION
VII
1.1.
CONVEX
PREORDERS
AND
CUSPIDAL
SYSTEMS
VII
1.2.
IMAGINARY
REPRESENTATIONS
IX
1.3.
IMAGINARY
SCHUR-WEYL
DUALITY
X
1.4.
IMAGINARY
HOWE
AND
RINGEL
DUALITIES
XI
1.5.
GELFAND-GRAEV
WORDSAND
REPRESENTATIONS
XIII
1.6.
EXAMPLE:
TYPE
XV
1.7.
STRUCTURE
OF
THE
PAPER
XVI
1.8.
ACKNOWLEDGEMENTS
XVII
CHAPTER
2.
PRELIMINARIES
1
2.1.
PARTITIONS
AND
COMPOSITIONS
1
2.2.
COSET
REPRESENTATIVES
1
2.3.
SCHUR
ALGEBRAS
2
2.4.
REPRESENTATION
THEORY
OF
SCHUR
ALGEBRAS
3
2.5.
INDUCTION
AND
RESTRICTIONFOR
SCHUR
ALGEBRAS
5
2.6.
SCHUR
FUNCTORS
6
CHAPTER
3.
KHOVANOV-LAUDA-ROUQUIER
ALGEBRAS
7
3.1.
LIE
THEORETIC
NOTATION
7
3.2.
THE
DEFINITION
AND
FIRST
PROPERTIES
8
3.3.
BASIC
REPRESENTATION
THEORY
OF
RA
9
3.4.
INDUCTION,
COINDUCTION,
AND
DUALITY
FOR
KLR
ALGEBRAS
10
3.5.
CRYSTAL
OPERATORS
AND
EXTREMAL
WORDS
11
3.6.
MACKEY
THEOREM
12
3.7.
CONVEX
PREORDERS
AND
ROOT
PARTITIONS
14
3.8.
CUSPIDAL
SYSTEMS
AND
STANDARD
MODULES
15
3.9.
COLORED
IMAGINARY
TENSOR
SPACES
15
CHAPTER
4.
IMAGINARY
SCHUR-WEYL
DUALITY
19
4.1.
IMAGINARY
TENSOR
SPACE
AND
ITS
PARABOLIC
ANALOGUE
19
4.2.
ACTION
OF
6N
ON
MN
21
4.3.
IMAGINARY
SCHUR
ALGEBRAS
24
4.4.
CHARACTERISTIC
ZERO
THEORY
25
4.5.
IMAGINARY
INDUCTION
AND
RESTRICTION
25
CHAPTER
5.
IMAGINARY
HOWE
DUALITY
29
5.1.
GELFAND-GRAEV
MODULES
29
5.2.
IMAGINARY
SYMMETRIC,
DIVIDED,
AND
EXTERIOR
POWERS
31
5.3.
PARABOLIC
ANALOGUES
33
III
IV
CONTENTS
5.4.
SCHUR
ALGEBRAS
AS
ENDOMORPHISM
ALGEBRAS
34
5.5.
PROJECTIVE
GENERATOR
FOR
IMAGINARY
SCHUR
ALGEBRA
36
CHAPTER
6.
MORITA
EQUAIVALENCE
41
6.1.
MORITA
EQUIVALENCE
FUNCTORS
41
6.2.
INDUCTION
AND
MORITA
EQUIVALENCE
43
6.3.
ALTERNATIVE
DEFINITIONS
OF
STANDARD
MODULES
46
6.4.
BASE
CHANGE
47
6.5.
RINGEL
DUALITY
AND
DOUBLE
CENTRALIZER
PROPERTIES
49
CHAPTER
7.
ON
FORMAL
CHARACTERS
OF
IMAGINARY
MODULES
53
7.1.
WEIGHT
MULTIPLICITIES
IN
AX%T
(VH)
53
7.2.
GELFAND-GRAEV
WORDSAND
SHUFFLES
53
7.3.
GELFAND-GRAEV
FRAGMENT
OF
THE
FORMAL
CHARACTER
OF
A(A)
55
7.4.
IMAGINARY
JACOBI-TRUDY
FORMULA
57
CHAPTER
8.
IMAGINARY
TENSOR
SPACE
FOR
NON-SIMPLY-LACED
TYPES
59
8.1.
MINUSCULE
REPRESENTATIONS
FOR
NON-SIMPLY-LACED
TYPES
59
8.2.
THE
ENDOMORPHISM
RR
:
MN
-
MN
FOR
NON-SIMPLY-LACED
TYPES
71
BIBLIOGRAPHY
81
|
| any_adam_object | 1 |
| author | Kleščev, Aleksandr S. 1966- Muth, Robert 1978- |
| author_GND | (DE-588)136718264 (DE-588)1124471324 |
| author_facet | Kleščev, Aleksandr S. 1966- Muth, Robert 1978- |
| author_role | aut aut |
| author_sort | Kleščev, Aleksandr S. 1966- |
| author_variant | a s k as ask r m rm |
| building | Verbundindex |
| bvnumber | BV044046398 |
| ctrlnum | (OCoLC)971480448 (DE-599)BVBBV044046398 |
| dewey-full | 512.482 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.482 |
| dewey-search | 512.482 |
| dewey-sort | 3512.482 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV044046398 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:42:05Z |
| institution | BVB |
| isbn | 9781470422493 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029453332 |
| oclc_num | 971480448 |
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| owner_facet | DE-355 DE-BY-UBR DE-83 DE-29T DE-11 |
| physical | xvii, 83 Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Kleščev, Aleksandr S. 1966- (DE-588)136718264 aut Imaginary Schur-Weyl duality Alexander Kleshchev, Robert Muth Providence, Rhode Island American Mathematical Society January 2017 xvii, 83 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 245, number 1157 (2nd of 6 numbers) Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Dualitätstheorie (DE-588)4150801-4 gnd rswk-swf Dualitätstheorie (DE-588)4150801-4 s Lie-Algebra (DE-588)4130355-6 s DE-604 Muth, Robert 1978- (DE-588)1124471324 aut Erscheint auch als Online-Ausgabe 978-1-4704-3603-2 Memoirs of the American Mathematical Society 1157 (DE-604)BV008000141 1157 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029453332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kleščev, Aleksandr S. 1966- Muth, Robert 1978- Imaginary Schur-Weyl duality Memoirs of the American Mathematical Society Lie-Algebra (DE-588)4130355-6 gnd Dualitätstheorie (DE-588)4150801-4 gnd |
| subject_GND | (DE-588)4130355-6 (DE-588)4150801-4 |
| title | Imaginary Schur-Weyl duality |
| title_auth | Imaginary Schur-Weyl duality |
| title_exact_search | Imaginary Schur-Weyl duality |
| title_full | Imaginary Schur-Weyl duality Alexander Kleshchev, Robert Muth |
| title_fullStr | Imaginary Schur-Weyl duality Alexander Kleshchev, Robert Muth |
| title_full_unstemmed | Imaginary Schur-Weyl duality Alexander Kleshchev, Robert Muth |
| title_short | Imaginary Schur-Weyl duality |
| title_sort | imaginary schur weyl duality |
| topic | Lie-Algebra (DE-588)4130355-6 gnd Dualitätstheorie (DE-588)4150801-4 gnd |
| topic_facet | Lie-Algebra Dualitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029453332&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT klescevaleksandrs imaginaryschurweylduality AT muthrobert imaginaryschurweylduality |