8 papers · 1 filter
Character sheaves on disconnected groups, IV
G. Lusztig
Let G be a possibly disconnected reductive group over a finite field with Frobenius map F. The main result of this paper is that the characteristic functions af "admissible complex…
A q-analogue of an identity of N. Wallach
G. Lusztig
N.Wallach has considered an element of the group algebra of the symmetric group S_n which is the sum of an n-cycle, an (n-1)-cycle,...,a 2-cycle and the identity. He showed that mu…
Convolution of almost characters
G. Lusztig
In this paper we show that the convolution product of "almost characters" of a connected reductive group over a finite field is given by "structure constants" whose leading coeffic…
Character sheaves and generalizations
G. Lusztig
This paper contains an exposition of the theory of character sheaves for reductive groups and some attempts to extend it to other cases: unipotent groups, reductive groups modulo t…
Character sheaves on disconnected groups, III
G. Lusztig
We continue the attempt to develop a theory of character sheaves on a not necessarily connected reductive algebraic group. In this paper we introduce and study the generalized Gree…
Character sheaves on disconnected groups, II
G. Lusztig
The main theme of this paper is establishing the "generalized Springer correspondence" in complete generality that is, for not necessarily connected reductive algebraic groups.