Modular Branching Rules for Projective Representations of Symmetric Groups and Lowering Operators for the Supergroup Q - Brossura

Kleshchev, Alexander; Shchigolev, Vladimir

Brossura

ISBN 10: 0821874314 ISBN 13: 9780821874318

Casa editrice: Amer Mathematical Society, 2012

Riassunto

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.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 0821874314
• ISBN 13: 9780821874318
• Rilegatura: Copertina flessibile
• Numero di pagine: 123
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile