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

Details From conjugacy classes in the Weyl group to unipotent classes, III From conjugacy classes in the Weyl group to unipotent classes, III

2011-04-15

arxiv.org/abs/1104.3112v2

Mathematics

Representation Theory

45 pages. This version contains additional material compared to the 1st version

Scientific paper

Let G be an affine algebraic group over an algebraically closed field such that the identity component G^0 of G is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in G/G^0 is a unipotent element. In this paper we define a map from the set of "twisted conjugay classes" in W to the set of unipotent G^0-conjugacy classes in D, generalizing an earlier construction which applied when G is connected.

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