On Jordan blocks of elements of order \(p\) in irreducible representations of classical groups with \(p\)-large highest weights

DOI10.1006/jabr.1996.6916zbMath0893.20032OpenAlexW1976163966MaRDI QIDQ1357803

Irene D. Suprunenko

Publication date: 25 August 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6916

zbMATH Keywords

algebraic groupsblocksirreducible representationshighest weightsfundamental weightsJordan formsmaximal rootsrestricted weights

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05)

Related Items (13)

Modular representations of classical groups with small weight multiplicities. ⋮ Representations of algebraic groups of type \(D_n\) in characteristic 2 with small weight multiplicities. ⋮ Restrictions of Irreducible Representations of Classical Algebraic Groups to RootA₁-Subgroups ⋮ Unnamed Item ⋮ Restrictions of modular representations of special linear groups to \(A_1\times A_1\) subgroups. ⋮ In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ On an asymptotic behavior of elements of order 𝑝 in irreducible representations of the classical algebraic groups with large enough highest weights ⋮ Unipotent elements of nonprime order in representations of the classical algebraic groups: two big Jordan blocks. ⋮ RESTRICTIONS OF LARGE IRREDUCIBLE REPRESENTATIONS OF THE CLASSICAL GROUPS TO NATURALLY EMBEDDED SMALL SUBGROUPS CANNOT BE SEMISIMPLE ⋮ THE RESTRICTIONS OF REPRESENTATIONS OF ALGEBRAIC GROUPS OF TYPES B_n AND D_n TO SUBGROUPS OF TYPE A₂ ⋮ Regular unipotent elements from subsystem subgroups of rank 2 in modular representations of classical groups. ⋮ Algebra--12. Dedicated to the 70th birthday of Professor A. I. Kostrikin ⋮ \(p\)-large representations and asymptotics: a survey and conjectures

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