AbstractIn Lusztig (2003) [7], Lusztig defined two functions a and a′ on a Coxeter group W and conjectured that they are the same. In the present paper, we give a counter-example to Lusztig's conjecture. Then we propose a new conjecture for the description of two-sided cells of W which can be regarded as an improvement of Lusztig's conjecture. Some examples are given to support our conjecture
We prove Lusztig's conjectures P1–P15 for the affine Weyl group of type˜ C2 for all choices of posit...
29 pages. The paper arXiv:0805.3038 has been divided in two parts. This paper is an enriched (and tr...
International audienceWe prove Lusztig's conjectures P1–P15 for the affine Weyl group of type˜ C2 fo...
Abstract. By the correspondence between Coxeter elements of a Coxeter system (W,S,Γ) and the acyclic...
This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the b...
In this paper, we give a characterization of Coxeter group representations of Lusztig's a-function v...
International audienceWe prove Lusztig's conjectures ${\bf P1}$--${\bf P15}$ for the affine Weyl gro...
11 pages, few misprints correctedLet $(W,S)$ be a Coxeter system, let $G$ be a finite solvable group...
Abstract. Let W be a crystallographic group with its a-function upper bounded. In [15], the author s...
AbstractFollowing Lusztig, we consider a Coxeter group W together with a weight function L. This giv...
Artículo de publicación ISIWe define a map F with domain a certain subset of the set of light leaves...
Artículo de publicación ISIWe define a map F with domain a certain subset of the set of light leaves...
AbstractBy the correspondence between Coxeter elements of a Coxeter system (W,S,Γ) and the acyclic o...
International audienceLet W be a Coxeter group and L be a weight function on W. Following Lusztig, w...
29 pages. The paper arXiv:0805.3038 has been divided in two parts. This paper is an enriched (and tr...
We prove Lusztig's conjectures P1–P15 for the affine Weyl group of type˜ C2 for all choices of posit...
29 pages. The paper arXiv:0805.3038 has been divided in two parts. This paper is an enriched (and tr...
International audienceWe prove Lusztig's conjectures P1–P15 for the affine Weyl group of type˜ C2 fo...
Abstract. By the correspondence between Coxeter elements of a Coxeter system (W,S,Γ) and the acyclic...
This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the b...
In this paper, we give a characterization of Coxeter group representations of Lusztig's a-function v...
International audienceWe prove Lusztig's conjectures ${\bf P1}$--${\bf P15}$ for the affine Weyl gro...
11 pages, few misprints correctedLet $(W,S)$ be a Coxeter system, let $G$ be a finite solvable group...
Abstract. Let W be a crystallographic group with its a-function upper bounded. In [15], the author s...
AbstractFollowing Lusztig, we consider a Coxeter group W together with a weight function L. This giv...
Artículo de publicación ISIWe define a map F with domain a certain subset of the set of light leaves...
Artículo de publicación ISIWe define a map F with domain a certain subset of the set of light leaves...
AbstractBy the correspondence between Coxeter elements of a Coxeter system (W,S,Γ) and the acyclic o...
International audienceLet W be a Coxeter group and L be a weight function on W. Following Lusztig, w...
29 pages. The paper arXiv:0805.3038 has been divided in two parts. This paper is an enriched (and tr...
We prove Lusztig's conjectures P1–P15 for the affine Weyl group of type˜ C2 for all choices of posit...
29 pages. The paper arXiv:0805.3038 has been divided in two parts. This paper is an enriched (and tr...
International audienceWe prove Lusztig's conjectures P1–P15 for the affine Weyl group of type˜ C2 fo...
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