Minimal length elements in some double cosets of Coxeter groups
Copyright policy )Minimal length elements in some double cosets of Coxeter groups
We study the minimal length elements in some double cosets of Coxeter groups and use them to study Lusztig's $G$-stable pieces and the generalization of $G$-stable pieces introduced by Lu and Yakimov. We also use them to study the minimal length elements in a conjugacy class of a finite Coxeter group and prove a conjecture in \cite{GKP}.
35 pages
- Stony Brook University United States
- HONG KONG POLYTECHNIC UNIVERSITY China (People's Republic of)
- Hong Kong University of Science and Technology China (People's Republic of)
- Hong Kong University of Science and Technology (香港科技大學) China (People's Republic of)
- Hong Kong University of Science and Technology Hong Kong
Representation theory for linear algebraic groups, Generators, relations, and presentations of groups, reductive groups, Mathematics(all), Reductive group, Hecke algebra, minimal length elements, Coxeter group, Coxeter groups, Minimal length element, character sheaves, Character sheaf, Reflection and Coxeter groups (group-theoretic aspects), FOS: Mathematics, Representation Theory (math.RT), Hecke algebras, Mathematics - Representation Theory, Conjugacy classes for groups, conjugacy classes, 20F55, 20G99
Representation theory for linear algebraic groups, Generators, relations, and presentations of groups, reductive groups, Mathematics(all), Reductive group, Hecke algebra, minimal length elements, Coxeter group, Coxeter groups, Minimal length element, character sheaves, Character sheaf, Reflection and Coxeter groups (group-theoretic aspects), FOS: Mathematics, Representation Theory (math.RT), Hecke algebras, Mathematics - Representation Theory, Conjugacy classes for groups, conjugacy classes, 20F55, 20G99
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