On the representations of the full matrix semigroup on homogeneous polynomials

DOI10.1016/0021-8693(86)90034-7zbMath0588.20039OpenAlexW2044048308MaRDI QIDQ1073189

Leonid Krop

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90034-7

zbMATH Keywords

representationsdistributivehomogeneous polynomialslattice of submodulesfull matrix semigroupssymmetric submodule

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Representation theory for linear algebraic groups (20G05) Algebraic systems of matrices (15A30) Other matrix groups over fields (20H20) Representation of semigroups; actions of semigroups on sets (20M30)

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Cites Work

• Polynomial representations of \(GL_n\)
• Representations of the symmetric groups over the field of order 2
• The representation theory of the symmetric groups
• Module structure in certain algebras
• Modules Whose Lattice of Submodules is Distributive
• On lattices of varieties of metabelian groups
• On varieties of metabelian groups of prime-power exponent
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