Reduced symmetric powers of natural realizations of the groups \(SL_ m(P)\) and \(Sp_ m(P)\) and their restrictions to subgroups

DOI10.1007/BF00970625zbMath0793.20042MaRDI QIDQ1174001

Alexander E. Zalesskij, Irene D. Suprunenko

Publication date: 25 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

representationsgeneral linear grouphomogeneous polynomialsspecial linear grouprestrictions

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)

Related Items (12)

The restrictions of representations of the special linear group to subsystem subgroups of type \(A_2\) ⋮ Finite imprimitive linear groups of prime degree. ⋮ Unnamed Item ⋮ Modular representations of the special linear groups with small weight multiplicities. ⋮ On class numbers of division fields of abelian varieties ⋮ In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ Invariants of maximal tori and unipotent constituents of some quasi-projective characters for finite classical groups ⋮ The permutation action of finite symplectic groups of odd characteristic on their standard modules. ⋮ Unipotent elements of nonprime order in representations of the classical algebraic groups: two big Jordan blocks. ⋮ Irreducible representations of finite classical groups containing matrices with simple spectra ⋮ The permutation representation of \(\text{Sp}(2m,\mathbb{F}_p)\) acting on the vectors of its standard module. ⋮ Irreducible representations of finite exceptional groups of lie type containing matrices with simple spectra

Cites Work

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• The submodule structure of certain Weyl modules for groups of type \(A_ n\)
• The maximal subgroups of classical algebraic groups

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