A Survey on the Cell Theory of Weighted Coxeter Groups

DOI10.1142/9789811263491_0017zbMATH Open1522.20159OpenAlexW4309117281MaRDI QIDQ6137114

Jian-yi Shi

Publication date: 1 September 2023

Published in: Forty Years of Algebraic Groups, Algebraic Geometry, and Representation Theory in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/9789811263491_0017

zbMATH Keywords

partitionsaffine Weyl groupcellsquasi-split caseweighted Coxeter grouptabloids

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Combinatorial aspects of groups and algebras (05E16)

Related Items (3)

Some cells in the weighted Coxeter group (C̃n,ℓ̃2n) ⋮ The weighted universal Coxeter group and some related conjectures of Lusztig ⋮ Cells of the weighted Coxeter group\\ $\textbf{(}\widetilde{\bm C}_{\bm n},\widetilde{\bm l}_{\textbf{2}\bm n}\textbf{)}$ in a certain quasi-split case

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