Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup Q(n)

@article{Kleshchev2010ModularBR,
title={Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup Q(n)},
author={Alexander S. Kleshchev and Vladimir Shchigolev},
journal={arXiv: Representation Theory},
year={2010}
}
• Published 2 November 2010
• Mathematics
• arXiv: Representation Theory
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…
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