Modular representations of classical groups with small weight multiplicities.

DOI10.1007/s10958-009-9542-8zbMath1186.20030OpenAlexW2133342584MaRDI QIDQ844429

A. A. Osinovskaya, A. A. Baranov, Irene D. Suprunenko

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9542-8

zbMATH Keywords

algebraic groupsirreducible representationsmaximal weight multiplicities

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05)

Related Items (6)

RESTRICTIONS OF MODULES OVER CLASSICAL GROUPS TO SUBGROUPS OF TYPE A₁ × A₁ IN CHARACTERISTIC 2 ⋮ Representations of algebraic groups of type \(D_n\) in characteristic 2 with small weight multiplicities. ⋮ Restrictions of modular representations of special linear groups to \(A_1\times A_1\) subgroups. ⋮ Modular representations of the special linear groups with small weight multiplicities. ⋮ In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ Representations of algebraic groups of type \(C_n\) with small weight multiplicities

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• Lie Algebra Modules with Finite Dimensional Weight Spaces, I
• The maximal subgroups of classical algebraic groups
• On Decomposition Numbers and Branching Coefficients for Symmetric and Special Linear Groups

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