Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups

DOI10.1090/S0002-9947-09-04659-5zbMath1193.16026arXivmath/0703681MaRDI QIDQ3631867

Susan Montgomery, Robert M. Guralnick

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0703681

zbMATH Keywords

Weyl groupssimple modulesDrinfeld doublesreflection groupsFrobenius-Schur indicatorsinvolutory Hopf algebrasrationality of representations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hopf algebras and their applications (16T05)

Related Items (11)

HIGHER INDICATORS FOR SOME GROUPS AND THEIR DOUBLES ⋮ Strong Reality Properties of Normalizers of Parabolic Subgroups in Finite Coxeter Groups ⋮ Gauge invariants from the powers of antipodes ⋮ Kazhdan-Lusztig cells and the Frobenius-Schur indicator. ⋮ Automorphisms of the doubles of purely non-abelian finite groups ⋮ Hopf algebras and Markov chains: two examples and a theory ⋮ Higher Indicators for the Doubles of Some Totally Orthogonal Groups ⋮ On the trace of the antipode and higher indicators. ⋮ A Trace-Like Invariant for Representations of Hopf Algebras ⋮ Representations of some Hopf algebras associated to the symmetric group \(S_n\). ⋮ Indicators of bismash products from exact symmetric group factorizations

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