UNIPOTENT ELEMENTS IN REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE

DOI10.1142/S0219498811005622zbMath1251.20018WikidataQ115245693 ScholiaQ115245693MaRDI QIDQ2885399

Lino Di Martino, Alexander E. Zalesskij

Publication date: 23 May 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

unipotent elementsirreducible linear groupsgroups generated by pseudo-reflectionseigenvalue multiplicitiesalmost cyclic matricescross characteristic representations of finite groups of Lie type

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 (4)

Unisingular representations of finite symplectic groups ⋮ Almost cyclic elements in Weil representations of finite classical groups ⋮ On Generators and Representations of the Sporadic Simple Groups ⋮ Almost cyclic elements in cross-characteristic representations of finite groups of Lie type

Cites Work

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• Eigenvalues of unipotent elements in cross-characteristic representations of finite classical groups.
• On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.
• On the minimal degrees of projective representations of the finite Chevalley groups
• Some aspects of finite linear groups: A survey
• Dade's inductive conjecture for the Ree groups of type \(G_2\) in the defining characteristic
• Representations of symplectic groups
• FINITE LINEAR GROUPS GENERATED BY REFLECTIONS
• Characters of Solvable and Symplectic Groups

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