In the first part of this paper we study normal forms of elements of the imprimitive complex reflection group G(e,1,n). This allows to prove a conjecture of Broue on basis elements and the canonical symmetrizing form of the associated cyclotomic (Hecke) algebra. Secondly we introduce a root system for G(e,1,n) and study the associated length function. This has many properties in common with the usual length function for finite Weyl groups. (orig.)Available from TIB Hannover: RR 1606(96-24) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
Following the definition of Rouquier for the "families of characters" of a Weyl group which allows t...
Let W be a finite complex reflection group, and H = H(W,u) the corre-sponding generic (cyclotomic) H...
18 pagesInternational audienceAn inductive approach to the representation theory of the chain of the...
AbstractIn the first part of this paper we study normal forms of elements of the imprimitive complex...
We introduce root systems for those imprimitive complex reflection groups which are generated by inv...
AbstractThis note is the first part of consecutive two papers concerning with a length function and ...
Neaime G. Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n). JO...
AbstractThis note is the first part of consecutive two papers concerning with a length function and ...
Abstract. We deduce a closed formula for the reflection length functions on the reflection group G(m...
Following the definition of Rouquier for the "families of characters" of a Weyl group and its genera...
AbstractWe deduce a closed formula for the reflection length functions on the reflection group G(m,p...
We define geodesic normal forms for the general series of complex reflection groups G(de,e,n). This ...
The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in t...
We construct an algorithm for getting a reduced expression for any element in acomplex reflection gr...
AbstractIn our previous paper [J.Y. Shi, Formula for the reflection length of elements in the group ...
Following the definition of Rouquier for the "families of characters" of a Weyl group which allows t...
Let W be a finite complex reflection group, and H = H(W,u) the corre-sponding generic (cyclotomic) H...
18 pagesInternational audienceAn inductive approach to the representation theory of the chain of the...
AbstractIn the first part of this paper we study normal forms of elements of the imprimitive complex...
We introduce root systems for those imprimitive complex reflection groups which are generated by inv...
AbstractThis note is the first part of consecutive two papers concerning with a length function and ...
Neaime G. Geodesic normal forms and Hecke algebras for the complex reflection groups G(de, e, n). JO...
AbstractThis note is the first part of consecutive two papers concerning with a length function and ...
Abstract. We deduce a closed formula for the reflection length functions on the reflection group G(m...
Following the definition of Rouquier for the "families of characters" of a Weyl group and its genera...
AbstractWe deduce a closed formula for the reflection length functions on the reflection group G(m,p...
We define geodesic normal forms for the general series of complex reflection groups G(de,e,n). This ...
The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in t...
We construct an algorithm for getting a reduced expression for any element in acomplex reflection gr...
AbstractIn our previous paper [J.Y. Shi, Formula for the reflection length of elements in the group ...
Following the definition of Rouquier for the "families of characters" of a Weyl group which allows t...
Let W be a finite complex reflection group, and H = H(W,u) the corre-sponding generic (cyclotomic) H...
18 pagesInternational audienceAn inductive approach to the representation theory of the chain of the...