On the submodules and composition factors of certain induced modules for groups of type \(C_ n\)

DOI10.1016/0021-8693(91)90167-7zbMath0795.20025OpenAlexW2006613004MaRDI QIDQ1175758

Jyrki Lahtonen

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90167-7

zbMATH Keywords

symplectic groupssymmetric powersspecial linear groupssubmodule structurenatural modulesimple subquotients

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07)

Related Items (3)

The lattice of submodules of a multiplicity-free module ⋮ The permutation action of finite symplectic groups of odd characteristic on their standard modules. ⋮ The permutation representation of \(\text{Sp}(2m,\mathbb{F}_p)\) acting on the vectors of its standard module.

Cites Work

• Unnamed Item
• The submodule structure of certain Weyl modules for groups of type \(A_ n\)
• On the representations of the full matrix semigroup on homogeneous polynomials
• Representations of Chevalley Groups in Characteristic p

This page was built for publication: On the submodules and composition factors of certain induced modules for groups of type \(C_ n\)