The 2-blocks of the covering groups of the symmetric groups

DOI10.1006/aima.1997.1654zbMath0979.20014OpenAlexW2064181080MaRDI QIDQ1364920

Jørn B. Olsson, Christine Bessenrodt

Publication date: 11 November 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1997.1654

zbMATH Keywords

irreducible charactersblocksdecomposition numbersdouble coversspin charactersfinite symmetric groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items

Basic spin representations of \(2\mathbb{S}_ n\) and \(2\mathbb{A}_ n\) as globally irreducible representations, Spin block inclusions., Elementary divisors of Cartan matrices for symmetric groups., Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type \(A\), Inductive AM condition for the alternating groups in characteristic 2., Irreducible tensor products for alternating groups in characteristic 2, In memoriam: Christine Bessenrodt (1958--2022), Composition factors of 2-parts spin representations of symmetric groups, Bar weights of bar partitions and spin character zeros, Irreducible projective representations of the alternating group which remain irreducible in characteristic 2, Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic, Mixed expansion formula for the rectangular Schur functions and the affine Lie algebra \(A_1^{(1)}\)

Cites Work

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• Lower defect groups in symmetric groups
• Local structure of the p-blocks of \(\tilde S_ n\)
• Decomposition matrices for spin characters of symmetric groups at characteristic \(3\)
• The blocks of finite general linear and unitary groups
• Some combinatorial results involving shifted Young diagrams
• Blocks of Projective Representations of the Symmetric Groups
• Frobenius symbols for partitions and degrees of spin characters.
• Spin Modules for Symmetric Groups
• The Number of Modular Characters in Certain p -Blocks
• Partition Identities and Labels for Some Modular Characters
• The Spin Representation of the Symmetric Group