45 citations · 412 across the 130 of their papers we have counts for
9 papers · 1 filter
From Weyl groups to semisimple groups
G. Lusztig
In this (partly expository) paper we show, using ideas from the theory of total positivity, how a number of properties of a semisimple group over the complex numbers can be present…
A parametrization of unipotent representations
G. Lusztig
We define a map from the unipotent representations of a split semisimple group over a finite field to (essentially) the set of pairs of left cells representations of the Weyl group…
Involutions in Weyl groups and nil-Hecke algebras
George Lusztig, David A. Vogan
In a previous article we have defined an action of the Iwahori-Hecke algebra of a Coxeter group W on a free module with basis indexed by the involutions in W. In this paper we show…
Total positivity in symmetric spaces
G. Lusztig
The theory of total positivity for reductive groups is here extended to the case of symmetric spaces.
Distinguished strata in a reductive group
G. Lusztig
The set of strata of a reductive group can be viewed as an enlargement of the set of unipotent classes. In this paper the notion of distinguished unipotent class is extended to thi…
Traces on Iwahori-Hecke algebras and counting rational points
G. Lusztig
Let w be an element of the Weyl group of a reductive group G defined and split over a finite field. We consider the variety of triples (g,B,B') where g is a unipotent element of G…