Support varieties for modules over symmetric groups

DOI10.1016/S0021-8693(02)00104-7zbMath1028.20009OpenAlexW1991366721MaRDI QIDQ1858174

Daniel K. Nakano, David J. Hemmer

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00104-7

zbMATH Keywords

group algebrasSpecht modulessymmetric groupscohomology ringssimple modulescohomology of groupssupport varietiesYoung modules

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Group rings (16S34) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (11)

Complexity for modules over the classical Lie superalgebra ⋮ The period of periodic Young modules. ⋮ On the symmetric and exterior powers of Young permutation modules ⋮ Signed Young modules and simple Specht modules ⋮ The complexity of certain Specht modules for the symmetric group. ⋮ On the cohomology of Young modules for the symmetric group. ⋮ The Lie module and its complexity ⋮ On vertices of completely splittable modules for symmetric groups and simple modules labelled by two part partitions ⋮ The varieties for some Specht modules. ⋮ The complexity of the Specht modules corresponding to hook partitions. ⋮ On the complexities of some simple modules of symmetric groups

Cites Work

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• The varieties and the cohomology ring of a module
• Polynomial representations of \(GL_n\)
• Periodicity in groups
• Extensions of modules over Schur algebras, symmetric groups and Hecke algebras.
• Completely splittable representations of symmetric groups
• The spectrum of an equivariant cohomology ring. I. II
• Representation type of $q$-Schur algebras
• The Ext1 -quiver for completely splittable representations of the symmetric group
• The Cohomology Ring of a Finite Group

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