On the Steinberg module, representations of the symmetric groups, and the Steenrod algebra

DOI10.1016/0022-4049(86)90147-7zbMath0593.20006OpenAlexW2067588085MaRDI QIDQ1076135

Stephen A. Mitchell

Publication date: 1986

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(86)90147-7

zbMATH Keywords

partitionWeyl moduleprimitive idempotentSteinberg modulemod p Steenrod algebra

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Stable homotopy theory, spectra (55P42) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Steenrod algebra (55S10)

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Cohomology of finite-dimensional connected cocommutative Hopf algebras, Reduced unstable $A$-modules and the modular representation theory of the symmetric groups, On certain homotopy actions of general linear groups on iterated products, The functor \(V\mapsto\mathbb F_{2}[V^{\otimes 3}\) between \(\mathbb F_{ 2 }\)-vector spaces is Noetherian]

Cites Work

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• Finite complexes with A(n)-free cohomology
• On the modular representations of the general linear and symmetric groups
• The representation theory of the symmetric groups
• On the associated graded ring of a group ring