The lowest two-sided cell of a Coxeter group with complete graph

DOI10.1016/j.jalgebra.2017.05.039zbMath1457.20008OpenAlexW2728139834MaRDI QIDQ1682032

Xun Xie

Publication date: 28 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.05.039

zbMATH Keywords

based ringsCoxeter groups with complete graphlowest two-sided cells

Mathematics Subject Classification ID

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

Related Items (2)

Conjectures P1--P15 for Coxeter groups with complete graph ⋮ Unnamed Item

Cites Work

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• The reduced expressions in a Coxeter system with a strictly complete Coxeter graph
• The based ring of the lowest generalized two-sided cell of an extended affine Weyl group
• Cells in affine Weyl groups. II
• The based ring of the lowest two-sided cell of an affine Weyl group
• Representations of Coxeter groups and Hecke algebras
• Lusztig's \(a\)-function for Coxeter groups of rank 3.
• The boundedness of the weighted Coxeter group with complete graph
• Representations of affine Hecke algebras and based rings of affine Weyl groups
• The based ring of the lowest two-sided cell of an affine Weyl group. II
• The based ring of two-sided cells of affine Weyl groups of type ̃𝐴_{𝑛-1}
• Hecke Algebras with Unequal Parameters
• Lusztig's $a$-function for Coxeter groups with complete graphs

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