Composition factors of tensor products of symmetric powers.

DOI10.1016/J.JALGEBRA.2015.04.017zbMath1335.20048arXiv1704.02410OpenAlexW2964099880MaRDI QIDQ2347984

Stephen Donkin, Haralampos Geranios

Publication date: 10 June 2015

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

Full work available at URL: https://arxiv.org/abs/1704.02410

zbMATH Keywords

partitionsgeneral linear groupsSpecht modulestensor productsirreducible modulescomposition factorspolynomial representationssymmetric powers

Mathematics Subject Classification ID

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

Related Items (2)

Composition factors of tensor products of truncated symmetric powers. ⋮ Invariants of Specht modules.

Cites Work

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• Polynomial representations of \(\text{GL}_n\). With an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker.
• Composition factors of tensor products of truncated symmetric powers.
• On the representations of the full matrix semigroup on homogeneous polynomials. II
• Some representation theory for the modular general linear groups
• On Schur algebras and related algebras. IV: The blocks of the Schur algebras
• Polynomially and infinitesimally injective modules.

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