Add to ORKG5 pagesChapuy and Stump have given a nice generating series for the number of factorisations of a Coxeter element as a product of reflections. Their method is to evaluate case by case a character-theoretic expression. The goal of this note is to give a uniform evaluation of their character-theoretic expression in the case of Weyl groups, by using combinatorial properties of Deligne-Lusztig representations
We introduce the class of projective reflection groups which includes all complex reflection groups....
Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient categ...
International audienceThis paper is devoted to the computation of the number of ordered factorizatio...
AbstractLet (W,I) be a finite Coxeter group. In the case where W is a Weyl group, Berenstein and Kaz...
AbstractWe derive the classification of finite Coxeter groups in a purely algebraic manner from a si...
The aim of this paper is to give another proof of a theorem of D.Prasad, which calculates the charac...
AbstractIn this paper we compute the leading coefficients μ(u,w) of the Kazhdan–Lusztig polynomials ...
AbstractA polynomial f(T)∈Z[T] is represented by q(T)∈Z[T] if f(T2)=q∗(T)=Tdegqq(T+T-1); f(T) is gra...
0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat order on W. In [KL1...
AbstractIn this paper we determine expression of Kazhdan–Lusztig basis elements Cw over the Hecke Al...
We consider various consequences of the existence of exceptional representations of an irreducible W...
AbstractIn this paper, using a result of F.T. Farrell, we reformulate the Davis formula for the coho...
AbstractWe continue our study of the characters of the Weyl groups of the simple Lie algebras, begun...
AbstractWe define primitive derivations for Coxeter arrangements which may not be irreducible. Using...
Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in ...
We introduce the class of projective reflection groups which includes all complex reflection groups....
Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient categ...
International audienceThis paper is devoted to the computation of the number of ordered factorizatio...
AbstractLet (W,I) be a finite Coxeter group. In the case where W is a Weyl group, Berenstein and Kaz...
AbstractWe derive the classification of finite Coxeter groups in a purely algebraic manner from a si...
The aim of this paper is to give another proof of a theorem of D.Prasad, which calculates the charac...
AbstractIn this paper we compute the leading coefficients μ(u,w) of the Kazhdan–Lusztig polynomials ...
AbstractA polynomial f(T)∈Z[T] is represented by q(T)∈Z[T] if f(T2)=q∗(T)=Tdegqq(T+T-1); f(T) is gra...
0.1. LetW be aWeyl group with standard set of generators S; let ≤ be the Bruhat order on W. In [KL1...
AbstractIn this paper we determine expression of Kazhdan–Lusztig basis elements Cw over the Hecke Al...
We consider various consequences of the existence of exceptional representations of an irreducible W...
AbstractIn this paper, using a result of F.T. Farrell, we reformulate the Davis formula for the coho...
AbstractWe continue our study of the characters of the Weyl groups of the simple Lie algebras, begun...
AbstractWe define primitive derivations for Coxeter arrangements which may not be irreducible. Using...
Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in ...
We introduce the class of projective reflection groups which includes all complex reflection groups....
Ginzburg, Guay, Opdam and Rouquier established an equivalence of categories between a quotient categ...
International audienceThis paper is devoted to the computation of the number of ordered factorizatio...