On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.
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Publication:1043835
DOI10.1007/s10440-008-9373-5zbMath1230.20048OpenAlexW2021693735MaRDI QIDQ1043835
Publication date: 9 December 2009
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-008-9373-5
eigenvaluesLie groupseigenspacessimple Lie algebrasfinite groups of Lie typerepresentations of algebraic groupsfinite Chevalley groups
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Representations of finite groups of Lie type (20C33)
Related Items (10)
UNIPOTENT ELEMENTS IN REPRESENTATIONS OF FINITE GROUPS OF LIE TYPE ⋮ Unisingular representations of finite symplectic groups ⋮ Unnamed Item ⋮ Almost cyclic elements in Weil representations of finite classical groups ⋮ Unisingular representations in arithmetic and Lie theory ⋮ Realizations of unisingular representations by hyperelliptic Jacobians ⋮ Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups ⋮ On the behavior of elements of prime order from Singer cycles in representations of special linear groups. ⋮ On Generators and Representations of the Sporadic Simple Groups ⋮ Weight zero in tensor-decomposable irreducible representations of simple algebraic groups
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