James' regularization theorem for double covers of symmetric groups.

DOI10.1016/j.jalgebra.2006.01.055zbMath1112.20009OpenAlexW2159992433MaRDI QIDQ855986

Jonathan Brundan, Alexander S. Kleshchev

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.01.055

zbMATH Keywords

decomposition numbersmodular representationsdouble covers of symmetric groupsbranching multiplicitiesJames regularization theorem

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items

Defect 2 spin blocks of symmetric groups and canonical basis coefficients ⋮ 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 ⋮ \(q\)-analogues of regularisation theorems for linear and projective representations of the symmetric group. ⋮ Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛) ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Irreducible tensor products of representations of covering groups of symmetric and alternating groups

Cites Work

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• q-Deformed Fock spaces and modular representations of spin symmetric groups
• Projective representations of symmetric groups via Sergeev duality