On multiplicity 1 eigenvalues of elements in irreducible representations of finite quasi-simple groups

DOI10.1515/JGT.2007.045zbMath1139.20007MaRDI QIDQ5309023

Christian Rudloff, Alexander E. Zalesskij

Publication date: 9 October 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

irreducible modulesfinite quasi-simple groupsirreducible complex representationscyclic Sylow subgroupsmultiplicity one eigenvalues

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items (3)

Almost cyclic elements in Weil representations of finite classical groups ⋮ Steinberg-like characters for finite simple groups ⋮ On eigenvalues of group elements in representations of simple algebraic groups and finite Chevalley groups.

Cites Work

• On the minimal degrees of characters of \(S_n\)
• Weil representations associated to finite fields
• Some generalizations of the Weil representations of the symplectic and unitary groups
• Blocks with cyclic defect groups
• Representations of symplectic groups
• The Spin Representation of the Symmetric Group
• THE NUMBER OF DISTINCT EIGENVALUES OF ELEMENTS IN FINITE LINEAR GROUPS
• The Maximal Tori in The Finite Chevalley Groups of Type E₆E₇And E₈
• Multiplicities of irreducible components of restrictions of complex representations of finite groups to certain subgroups
• Some Representations of Classical Groups
• Minimal characters of the finite classical groups
• Minimal Polynomials and Eigenvalues of p -Elements in Representations of Quasi-Simple Groups with a Cyclic Sylow p -Subgroup

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