45 citations · 412 across the 130 of their papers we have counts for
6 papers · 1 filter
Hecke algebras and involutions in Weyl groups
George Lusztig, David A. Vogan
For any two involutions y,w in a Weyl group (y\le w), let P_{y,w} be the polynomial defined in [KL]. In this paper we define a new polynomial P^σ_{y,w} whose i-th coefficient is a_…
On the representations of disconnected reductive groups over F_q
G. Lusztig
Let \hat G be the semidirect product of a connected reductive group G over F_q with a finite cyclic group generated by a quasisemisimple automorphism of G defined over F_q. In this…
Elliptic Weyl group elements and unipotent isometries with p=2
George Lusztig, Ting Xue
Let G be a classical group over an algebraically closed field of characteristic 2 and let C be an elliptic conjugacy class in the Weyl group. In a previous paper the first named au…
A generalization of Steinberg's cross-section
Xuhua He, George Lusztig
Let G be a semisimple group over an algebraically closed field. Steinberg has associated to a Coxeter element w of minimal length r a subvariety V of G isomorphic to an affine spac…
On certain varieties attached to a Weyl group element
G. Lusztig
Let w be an elliptic element of the Weyl group of a connected reductive group G. Let X be the set of pairs (g,B) where g is an element of G, B is a Borel subgroup of G and B,gBg^{-…
On the cleanness of cuspidal character sheaves
G. Lusztig
We prove the cleanness of cuspidal character sheaves in the few cases where it was previously unknown.