An involution based left ideal in the Hecke algebra

DOI10.1090/ERT/483zbMath1378.20004arXiv1507.02263OpenAlexW2963623878MaRDI QIDQ2822852

George Lusztig

Publication date: 5 October 2016

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

Full work available at URL: https://arxiv.org/abs/1507.02263

zbMATH Keywords

Weyl groupCoxeter groupHecke algebra

Mathematics Subject Classification ID

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

Related Items (7)

Involution words. II: Braid relations and atomic structures ⋮ Involutive automorphism of symmetric groups ⋮ Involutions in Weyl group of type \(F_4\) ⋮ Integral \(u\)-deformed involution modules ⋮ Special representations of Weyl groups: a positivity property ⋮ On involutions in Weyl groups ⋮ Involutions in Weyl groups and nil-Hecke algebras

Cites Work

• Unnamed Item
• Kazhdan-Lusztig cells and the Frobenius-Schur indicator.
• On involutions in symmetric groups and a conjecture of Lusztig.
• Some power series involving involutions in Coxeter groups
• Asymptotic Hecke algebras and involutions
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Involutions in Weyl groups
• Hecke Algebras with Unequal Parameters
• Hecke algebras and involutions in Weyl groups
• A bar operator for involutions in a Coxeter group

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