Open AccessFrom conjugacy classes in the Weyl group to unipotent classes, III
Author(s) -
G. Lusztig
Publication year - 2012
Publication title -
representation theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.169
H-Index - 37
ISSN - 1088-4165
DOI - 10.1090/s1088-4165-2012-00422-8
Subject(s) - algorithm , annotation , computer science , artificial intelligence , mathematics
Let G G be an affine algebraic group over an algebraically closed field whose identity component G 0 G^{0} is reductive. Let W W be the Weyl group of G G and let D D be a connected component of G G whose image in G / G 0 G/G^{0} is unipotent. In this paper we define a map from the set of “twisted conjugacy classes” in W W to the set of unipotent G 0 G^{0} -conjugacy classes in D D generalizing an earlier construction which applied when G G is connected.