45 citations · 412 across the 130 of their papers we have counts for
10 papers · 2 filters
On the Satake isomorphism
G. Lusztig
In a 1983 paper the author has established a (decategorified) Satake equivalence for affine Hecke algebras. In this paper we give new proofs for some results of that paper, one bas…
On the definition of unipotent representations
G. Lusztig
Let G be a connected reductive group over a finite field F_q. A map from irreducible representations of G(F_q) to semisimple classes in the dual group was defined by a cohomologica…
Parametrizing unipotent representations
G. Lusztig
In a recent paper I defined a new basis for the Grothendieck group of unipotent representations of an almost simple Chevalley group over a finite field. The definition for classica…
Unipotent blocks and weighted affine Weyl groups
G. Lusztig
We show that various properties of unipotent elements in a reductive group over the complex numbers can be recovered purely in terms of the affine Weyl group of the dual group.
Springer's work on unipotent classes and Weyl group representations
G. Lusztig
In this paper we discuss some of Springer's work on unipotent elements in a reductive groups and on representations of Weyl groups. Among the topics considered are Springer's bijec…
Open problems on Iwahori-Hecke algebras
G. Lusztig
We state four open problems on Iwahori-Hecke algebras. The first one states a relation between some algebras appearing in Solleveld's work and some explicit Hecke algebras appearin…