On an asymptotic behavior of elements of order 𝑝 in irreducible representations of the classical algebraic groups with large enough highest weights

DOI10.1090/S0002-9939-01-05934-2zbMath0990.20031arXivmath/0003223MaRDI QIDQ2716100

Irene D. Suprunenko

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003223

zbMATH Keywords

algebraic groupsirreducible representationshighest weightsJordan blocks

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33)

Related Items (2)

In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ Unipotent elements forcing irreducibility in linear algebraic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducible modules and parabolic subgroups
• On Jordan blocks of elements of order \(p\) in irreducible representations of classical groups with \(p\)-large highest weights
• \(p\)-large representations and asymptotics: a survey and conjectures
• \(A_ 1\)-type overgroups of elements of order \(p\) in semisimple algebraic groups and the associated finite groups
• Minimal polynomials of elements of order \(p\) in irreducible representations of Chevalley groups over fields of characteristic \(p\)
• Representations of Algebraic Groups
• The maximal subgroups of classical algebraic groups
• Classes of unipotent elements in simple algebraic groups. II
• 𝐴₁ subgroups of exceptional algebraic groups

This page was built for publication: On an asymptotic behavior of elements of order 𝑝 in irreducible representations of the classical algebraic groups with large enough highest weights