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

DOI10.1090/S0065-9266-2012-00657-5zbMath1326.20011arXiv1011.0566OpenAlexW2963790910MaRDI QIDQ5403709

Vladimir Shchigolev, Alexander S. Kleshchev

Publication date: 18 March 2014

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0566

zbMATH Keywords

Hecke algebrassymmetric groupsalternating groupsLie superalgebrasbranching rulesprojective representationsaffine Kac-Moody algebrasSchur functors

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Projective representations and multipliers (20C25)

Related Items (4)

On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3 ⋮ Decomposition numbers for abelian defect RoCK blocks of double covers of symmetric groups ⋮ Composition factors of 2-parts spin representations of symmetric groups ⋮ Irreducible tensor products of representations of covering groups of symmetric and alternating groups

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