On comparison of \(M\)-, \(G\)-, and \(S\)-representations

DOI10.1016/0021-8693(92)90080-6zbMath0765.20015OpenAlexW2067213974MaRDI QIDQ1184196

S. Singh

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90080-6

zbMATH Keywords

weightsgeneral linear groupsymmetric powersspecial linear groupunimodular matricesfinite dimensional \(KM\)-modulenatural \(KM\)-modulepolynomial homogeneous \(K\)- representationsemigroup of \(n\times n\)- matrices

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semigroups of transformations, relations, partitions, etc. (20M20) Representation theory for linear algebraic groups (20G05) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Generic representations of the finite general linear groups and the Steenrod algebra. II, Invariant subspaces of the ring of functions on a vector space over a finite field, A note on polynomial functors and ext¹Groups

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