45 citations · 412 across the 130 of their papers we have counts for
7 papers · 2 filters
On the definition of almost characters
G. Lusztig
We define the almost characters of G(F_q) where G is a reductive connected group over a finite field F_q as explicit linear combinations of irreducible characters. Previously these…
Generalized Springer theory and weight functions
G. Lusztig
We show that each Weyl group which enters in the generalized Springer correspondence carries a natural weight function.
Generic character sheaves on groups over $\kk[\e]/(\e^r)$
G. Lusztig
Let be a connected reductive group over $\kk$, an algebraic closure of a finite field. For an integer let $G_r=G(\kk[\e]/(\e^r))$ viewed as an algebraic group of dimen…
An involution based left ideal in the Hecke algebra
G. Lusztig
We define an imbedding of the Hecke algebra module carried by the involutions in a Weyl group W (defined by the author and Vogan) into a completion of the Hecke algebra. An analogo…
Non-unipotent character sheaves as a categorical centre
G. Lusztig
Let G be a reductive connected group over the algebraic closure of a finite field. In this paper we give the classification of character sheaves on G in categorical terms (as a cat…
On the character of certain tilting modules
George Lusztig, Geordie Williamson
Let G be a semisimple group over an algebraically closed field of characteristic p>0. We give a (partly conjectural) simple, closed formula for the character of many indecomposable…