The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic

DOI10.1090/memo/0939zbMath1275.20052OpenAlexW2030525258MaRDI QIDQ3633447

Publication date: 21 June 2009

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

Full work available at URL: https://doi.org/10.1090/memo/0939

zbMATH Keywords

minimal polynomials unipotent elements Jordan blocks irreducible rational representations semisimple conjugacy classes classical algebraic groups

Mathematics Subject Classification ID

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

Related Items (22)

The restrictions of representations of the special linear group to subsystem subgroups of type \(A_2\) ⋮ RESTRICTIONS OF MODULES OVER CLASSICAL GROUPS TO SUBGROUPS OF TYPE A₁ × A₁ IN CHARACTERISTIC 2 ⋮ Hall-Higman type theorems for exceptional groups of Lie type. I ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Блочная структура образов регулярных унипотентных элементов из подсистемных симплектических подгрупп ранга 2 в неприводимых представлениях симплектических групп. I ⋮ In memoriam: Irina Dmitrievna Suprunenko (1954--2022) ⋮ A counterexample to a conjugacy conjecture of Steinberg ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Restrictions of modules over classical groups to subgroups of type \(A_2\) in characteristic 2. ⋮ On the Jordan block structure of a product of long and short root elements in irreducible representations of algebraic groups of type \(B_r\) ⋮ Regular unipotent elements from subsystem subgroups of type \(A_{2}\) in representations of the special linear groups ⋮ On the block structure of regular unipotent elements from subsystem subgroups of type \(A_1\times A_2\) in representations of the special linear group. ⋮ Unipotent elements of nonprime order in representations of the classical algebraic groups: two big Jordan blocks. ⋮ Representations of algebraic groups of type \(C_n\) with small weight multiplicities ⋮ Unnamed Item ⋮ Weyl submodules in restrictions of simple modules. ⋮ Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups. ⋮ Блочная структура образов регулярных унипотентных элементов из подсистемных симплектических подгрупп ранга 2 в неприводимых представлениях симплектических групп. III

This page was built for publication: The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic