On certain distinguished involutions in the Weyl group of type \(D_n\).

DOI10.1016/J.JALGEBRA.2003.07.015zbMath1061.20036OpenAlexW2068251109MaRDI QIDQ1429911

Jiachun Liu, Chen Chengdong

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.015

zbMATH Keywords

Hecke algebrasWeyl groupsKazhdan-Lusztig polynomialsleft cellsdistinguished involutions

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Cites Work

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• Cells in affine Weyl groups. II
• Classes unipotentes et sous-groupes de Borel
• Representations of Coxeter groups and Hecke algebras
• The decomposition into left cells of the affine Weyl group of type \(\widetilde D_ 4\)
• The joint relations and the set \({\mathcal D}_ 1\) in certain crystallographic groups
• Expression of certain Kazhdan-Lusztig basis elements \(C_w\) over the Hecke algebra of type \(A_n\).
• Left cells witha-value 4 in the affine weyl group of type[btilde_n]

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