Kazhdan-Lusztig cells and the Frobenius-Schur indicator.

DOI10.1016/j.jalgebra.2013.01.019zbMath1304.20011arXiv1110.5672OpenAlexW2963182507MaRDI QIDQ401733

Meinolf Geck

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1110.5672

zbMATH Keywords

simple modulesfinite Coxeter groupsKazhdan-Lusztig cellsnumbers of involutionsFrobenius-Schur indicatorsLusztig ring \(J\)

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Conjugacy classes of involutions and Kazhdan–Lusztig cells ⋮ How to compute the Frobenius-Schur indicator of a unipotent character of a finite Coxeter system. ⋮ An involution based left ideal in the Hecke algebra ⋮ On the Kazhdan–Lusztig cells in type $E_8$

Cites Work

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• Representations of Hecke algebras at roots of unity.
• Cells in affine Weyl groups. II
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• Computing Kazhdan-Lusztig cells for unequal parameters.
• Representations of Coxeter groups and Hecke algebras
• Introduction to representation theory
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Frobenius-Schur indicators for subgroups and the Drinfel’d double of Weyl groups
• Leading coefficients and cellular bases of Hecke algebras
• Hecke Algebras with Unequal Parameters

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