45 citations · 412 across the 130 of their papers we have counts for
6 papers · 2 filters
Discretization of Springer fibers
G. Lusztig
Consider a nilpotent element e in a simple complex Lie algebra. The Springer fibre corresponding to e admits a discretization (discrete analogue) introduced by the author in 1999.…
Hecke modules based on involutions in extended Weyl groups
G. Lusztig
Let X be the group of weights of a maximal torus of a simply connected semisimple group over C and let W be the Weyl group. The semidirect product W(Q\otimes X/X) is called the ext…
Lifting involutions in a Weyl group to the torus normalizer
G. Lusztig
Let N be the normalizer of a maximal torus T in a split reductive group over F_q and let w be an involution in the Weyl group N/T. We construct explicitly a lifting n of w in N suc…
Comments on my papers
G. Lusztig
This document contains a description of several of my papers, including remarks on history and connection with subsequent work. It also contains some new results and conjectures.
Conjugacy classes in reductive groups and two-sided cells
G. Lusztig
Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of G' is in natural bijection with the set of two-sided cells associated t…
Billiards and Tilting Characters for
George Lusztig, Geordie Williamson
We formulate a conjecture for the second generation characters of indecomposable tilting modules for . This gives many new conjectural decomposition numbers for symmetr…