From conjugacy classes in the weyl group to unipotent classes, III

Let G be an affine algebraic group over an algebraically closed field whose identity component G[superscript 0] is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in [G over G[superscript 0]] is unipotent. In this paper we define a map from the set of “twi...

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Bibliographic Details
Main Author: Lusztig, George
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society (AMS) 2015
Online Access:http://hdl.handle.net/1721.1/93080
https://orcid.org/0000-0001-9414-6892
Description
Summary:Let G be an affine algebraic group over an algebraically closed field whose identity component G[superscript 0] is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in [G over G[superscript 0]] is unipotent. In this paper we define a map from the set of “twisted conjugacy classes” in W to the set of unipotent G[superscript 0]-conjugacy classes in D generalizing an earlier construction which applied when G is connected.