Maximal Strings in the Crystal Graph of Spin Representations of the Symmetric and Alternating Groups

DOI10.1080/00927870802502654zbMath1185.20011OpenAlexW2116064816MaRDI QIDQ3653320

H. Arisha, Mary Elizabeth Schaps

Publication date: 22 December 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802502654

zbMATH Keywords

symmetric groupsalternating groupsBroué conjecturemodular representationsBrauer correspondentsAbelian defect groupsspin representations

Mathematics Subject Classification ID

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

Related Items (4)

Unidirectional Littelmann paths for crystals of type \(A\) and rank 2 ⋮ Nonrecursive canonical basis computations for low rank Kashiwara crystals of type \(A\) ⋮ External vertices for crystals of affine type A ⋮ Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛)

Cites Work

• Infinite dimensional Lie algebras. An introduction
• Shifted tableaux and the projective representations of symmetric groups
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• The derived categories of some blocks of symmetric groups and a conjecture of Broué
• Blocks and source algebras for the double covers of the symmetric and alternating groups
• Brauer trees for the Schur cover of the symmetric group.
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• SYMMETRIC GROUPS, WREATH PRODUCTS, MORITA EQUIVALENCES, AND BROUÉ'S ABELIAN DEFECT GROUP CONJECTURE
• Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups
• q-Deformed Fock spaces and modular representations of spin symmetric groups
• On Cartan matrices and lower defect groups for covering groups of symmetric groups
• Projective representations of symmetric groups via Sergeev duality
• Unnamed Item

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