eBook ISBN: | 978-0-8218-9205-3 |
Product Code: | MEMO/220/1034.E |
List Price: | $71.00 |
MAA Member Price: | $63.90 |
AMS Member Price: | $42.60 |
eBook ISBN: | 978-0-8218-9205-3 |
Product Code: | MEMO/220/1034.E |
List Price: | $71.00 |
MAA Member Price: | $63.90 |
AMS Member Price: | $42.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 220; 2012; 123 ppMSC: Primary 20; Secondary 17
There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which connects projective representation theory of the symmetric group and representation theory of the algebraic supergroup \(Q(n)\) via appropriate Schur (super)algebras and Schur functors. The second approach follows the work of Grojnowski for classical affine and cyclotomic Hecke algebras and connects projective representation theory of symmetric groups in characteristic \(p\) to the crystal graph of the basic module of the twisted affine Kac-Moody algebra of type \(A_{p-1}^{(2)}\).
The goal of this work is to connect the two approaches mentioned above and to obtain new branching results for projective representations of symmetric groups.
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Table of Contents
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Chapters
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Introduction
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1. Preliminaries
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2. Lowering operators
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There are two approaches to projective representation theory of symmetric and alternating groups, which are powerful enough to work for modular representations. One is based on Sergeev duality, which connects projective representation theory of the symmetric group and representation theory of the algebraic supergroup \(Q(n)\) via appropriate Schur (super)algebras and Schur functors. The second approach follows the work of Grojnowski for classical affine and cyclotomic Hecke algebras and connects projective representation theory of symmetric groups in characteristic \(p\) to the crystal graph of the basic module of the twisted affine Kac-Moody algebra of type \(A_{p-1}^{(2)}\).
The goal of this work is to connect the two approaches mentioned above and to obtain new branching results for projective representations of symmetric groups.
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Chapters
-
Introduction
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1. Preliminaries
-
2. Lowering operators