45 citations · 412 across the 130 of their papers we have counts for
5 papers · 2 filters
Some power series involving involutions in Coxeter groups
G. Lusztig
Let W be a Coxeter group. We show that a certain power series involving a sum over all involutions in W can be expressed in terms of the Poincare series of W. (The case where W is…
Algebraic and geometric methods in representation theory
G. Lusztig
This is an expanded version of my Shaw Prize Lecture delivered at the Chinese University of Hong Kong.
On the character of certain modular irreducible representations
G. Lusztig
Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p>0. In this paper we restate our conjecture from 1979 on the chara…
Action of longest element on a Hecke algebra cell module
G. Lusztig
By a result of Mathas, the basis element T_{w_0} of the Hecke algebra of a finite Coxeter group acts in the canonical basis of a cell module as a permutation matrix times plus or m…
Exceptional representations of Weyl groups
G. Lusztig
We examine various consequences of the existence of exceptional representations of an irreducible Weyl group. (These are notes from a talk in the MIT Lie groups seminar.)