20 citations · 42 across the 35 of their papers we have counts for
6 papers · 1 filter
Twelve bridges from a reductive group to its Langlands dual
G. Lusztig
These notes are based on lectures given in Wuhan (China) in July 2007. Their aim is to provide an introduction to Langlands philosophy.
Study of a Z-form of the coordinate ring of a reductive group
G. Lusztig
We show how the theory of canonical bases in modified universal enveloping algebras can be used to develop the theory of Chevalley groups over any commutative ring with 1.
A survey of total positivity
G. Lusztig
We survey the history of totally positive matrices and the generalization to Lie groups. We describe a reduction of a bilinear form to a canonical form (generalizing the case of sy…
Generic character sheaves on disconnected groups and character values
G. Lusztig
We relate a generic character sheaf on a disconnected reductive group with a character of a representation of the rational points of the group over a finite field extending a resul…
Irreducible representations of finite spin groups
G. Lusztig
We perform the computations necessary to establish a multiplicity one statement for the irreducible representations of a finite spin group which in turn yields the classification o…
Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups
Shrawan Kumar, George Lusztig, Dipendra Prasad
In this paper we show how a theorem of Jantzen relating the character of a finite dimensional irreducible representation of a disconnected semisimple algebraic group on elements ou…