4 citations · 4 across the 3 of their papers we have counts for
7 papers · 1 filter
Relative Kazhdan--Lusztig cells
Meinolf Geck
In this paper, we study the Kazhdan--Lusztig cells of a Coxeter group in a ``relative'' setting, with respect to a parabolic subgroup . This relies on a factor…
Kazhdan--Lusztig cells and the Murphy basis
Meinolf Geck
Let be the Iwahori--Hecke algebra associated with , the symmetric group on symbols. This algebra has two important bases: the Kazhdan--Lusztig basis and the Murphy bas…
Lusztig's -function in type in the asymptotic case
Meinolf Geck, Lacrimioara Iancu
In this paper, we study Lusztig's -function for a Coxeter group with unequal parameters. We determine that function explicitly in the ``asymptotic case'' in type , where th…
On the number of simple modules of Iwahori--Hecke algebras of finite Weyl groups
Meinolf Geck
Let be the Iwahori--Hecke algebra associated with a finite Weyl group , where is a field and . Assume that the characteristic of is not ``bad'…
On the -defect of character degrees of finite groups of Lie type
Meinolf Geck
This paper is concerned with the representation theory of finite groups. According to Robinson, the truth of certain variants of Alperin's weight conjecture on the -blocks of a…
Markov traces and knot invariants related to Iwahori-Hecke algebras of type B
Meinolf Geck, Sofia Lambropoulou
In this paper we classify all Markov traces on Iwahori-Hecke algebras associated with the finite Coxeter groups of type B. We then use these traces for constructing Jones-type inva…