On the cohomology of Specht modules.

DOI10.1016/J.JALGEBRA.2006.03.044zbMath1139.20047OpenAlexW2036154330MaRDI QIDQ855989

David J. Hemmer, Daniel K. Nakano

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.2006.03.044

zbMATH Keywords

general linear groupsSchur algebrasSpecht modulessymmetric groupsextensionscohomologyspectral sequencesFrobenius kernelsBorel subgroupsSchur functors

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Cohomology of groups (20J06) Cohomology theory for linear algebraic groups (20G10)

Related Items (5)

Counting irreducible modules for profinite groups ⋮ First degree cohomology of Specht modules and extensions of symmetric powers ⋮ Globally irreducible Weyl modules ⋮ Cohomology of SL₂ and related structures ⋮ Cohomology and generic cohomology of Specht modules for the symmetric group.

Cites Work

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• On comparing the cohomology of general linear and symmetric groups.
• Cohomology of induced representations for algebraic groups
• Polynomial representations of \(GL_n\)
• The representation theory of the symmetric groups
• Extensions of modules over Schur algebras, symmetric groups and Hecke algebras.
• \(\text{Ext}^ 1\) for Weyl modules of \(\text{SL}_ 2(K)\)
• On cohomology of dual Specht modules
• Specht Filtrations for Hecke Algebras of Type A
• On Infinitesimal Schur Algebras

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