Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups

DOI10.1515/JGT.2006.046zbMath1109.20014OpenAlexW1984481950MaRDI QIDQ3413962

Radha Kessar, Mary Elizabeth Schaps

Publication date: 5 January 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.046

zbMATH Keywords

Morita equivalencessymmetric groupsdefect groupsblocksalternating groupscovering groupsdouble covers

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Module categories in associative algebras (16D90) Modular representations and characters (20C20)

Related Items (4)

Defect 2 spin blocks of symmetric groups and canonical basis coefficients ⋮ Perfect isometries and Murnaghan-Nakayama rules ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Maximal Strings in the Crystal Graph of Spin Representations of the Symmetric and Alternating Groups

Cites Work

• Isométries de caractères et équivalences de Morita ou dérivées. (Isometries of characters and Morita or derived equivalences)
• Local structure of the p-blocks of \(\tilde S_ n\)
• Shifted tableaux and the projective representations of symmetric groups
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• Morita equivalence for blocks of finite general linear groups
• Blocks and source algebras for the double covers of the symmetric and alternating groups
• Scopes reduction and Morita equivalence classes of blocks in finite classical groups
• Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II.
• SYMMETRIC GROUPS, WREATH PRODUCTS, MORITA EQUIVALENCES, AND BROUÉ'S ABELIAN DEFECT GROUP CONJECTURE
• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
• Projective representations of symmetric groups via Sergeev duality

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