Generalized Frobenius-Schur numbers.

DOI10.1016/j.jalgebra.2004.02.012zbMath1053.20006OpenAlexW2091090127MaRDI QIDQ1879669

David Ginzburg, Daniel Bump

Publication date: 23 September 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.012

zbMATH Keywords

finite groupsautomorphismscomplex irreducible charactersFrobenius-Schur indicatorsgroup-invariant bilinear formsinvolution modelsmodels of representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15)

Related Items (24)

On the realization of the Gelfand character of a finite group as a twisted trace ⋮ ON INVOLUTIONS AND INDICATORS OF FINITE ORTHOGONAL GROUPS ⋮ Generalized Involution Models of Projective Reflection Groups ⋮ Gelfand \(W\)-graphs for classical Weyl groups ⋮ On the characteristic map of finite unitary groups. ⋮ A Gelfand model for wreath products. ⋮ The super Frobenius-Schur indicator and finite group gauge theories on \(\mathrm{pin}^-\) surfaces ⋮ Generalized involution models for wreath products. ⋮ Perfect models and Gelfand W-graphs ⋮ Involution models of finite Coxeter groups ⋮ Twisted Frobenius-Schur indicators for Hopf algebras. ⋮ Twisted exponents and twisted Frobenius–Schur indicators for Hopf algebras ⋮ Wreath product generalizations of the triple \((S_{2n},H_n,\varphi)\) and their spherical functions. ⋮ Automorphisms and generalized involution models of finite complex reflection groups. ⋮ Values of character sums for finite unitary groups. ⋮ On the representations of \(q\) unipotent groups over a finite field. ⋮ Shintani lifting and real-valued characters. ⋮ Involutions acting on representations. ⋮ Isomorphisms, automorphisms, and generalized involution models of projective reflection groups. ⋮ Involutory reflection groups and their models ⋮ Totally orthogonal finite simple groups ⋮ CHARACTERS AND SOLUTIONS TO EQUATIONS IN FINITE GROUPS ⋮ Twisted Frobenius-Schur indicators of finite symplectic groups. ⋮ Mackey's theory of \(\tau\)-conjugate representations for finite groups.

Cites Work

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• Finite groups in which every element is conjugate to its inverse
• On the Sum of the Elements in the Character Table of a Finite Group
• Properties of the Characters of the Finite General Linear Group Related to the Transpose-Inverse Involution
• Models and Involution Models for Wreath Products and Certain Weyl Groups

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