The cells of the affine Weyl group \(\widetilde C_n\) in a certain quasi-split case.

DOI10.1016/j.jalgebra.2014.09.008zbMath1307.20035OpenAlexW2033549435MaRDI QIDQ471910

Jian-yi Shi

Publication date: 17 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.09.008

zbMATH Keywords

partitionsaffine Weyl groupsleft cellsweighted Coxeter groupsquasi-split case

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (4)

Some cells in the weighted Coxeter group (C̃n,ℓ̃2n) ⋮ Kazhdan-Lusztig cells in some weighted Coxeter groups ⋮ The weighted universal Coxeter group and some related conjectures of Lusztig ⋮ The cells in the weighted Coxeter group \((\widetilde C_n,\widetilde\ell_m)\).

Cites Work

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• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Some partitions associated with a partially ordered set
• On generalized cells in affine Weyl groups
• The partial order on two-sided cells of certain affine Weyl groups
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Hecke Algebras with Unequal Parameters
• Kazhdan-Lusztig Cells in Affine Weyl Groups of Rank 2

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