Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups. II

DOI10.1016/0001-8708(80)90003-1zbMath0454.20009OpenAlexW4205953439MaRDI QIDQ1149508

Michael Clausen

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0001-8708(80)90003-1

zbMATH Keywords

Littlewood-Richardson ruleletter place algebrasrepresentation theory of general linear and symmetric groupsWeyl series

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30)

Related Items (12)

Modular irreducible representations of the symmetric group as linear codes. ⋮ The Littlewood-Richardson rule for Coschur modules ⋮ Skew modules for reductive groups ⋮ Symmetrizers for Schur superalgebras ⋮ Permanents, Doty coalgebras and dominant dimension of Schur algebras ⋮ Schur and Weyl functors ⋮ Schur modules, Weyl modules, and Capelli operators. ⋮ Connectedness of cup products for polynomial representations of \(\mathrm{GL}_n\) and applications ⋮ Bases for spaces of highest weight vectors in arbitrary characteristic ⋮ Trivial source modules for symmetric groups ⋮ Dominance orders, Capelli operators, and straightening of bideterminants ⋮ Multivariate polynomials, standard tableaux, and representations of symmetric groups

Cites Work

• Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups. I
• Representations of permutation groups. Part I
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