From Conjugacy Classes in the Weyl Group to Unipotent Classes
نویسنده
چکیده
Let G be a connected reductive algebraic group over an algebraic closed field. We define a (surjective) map from the set of conjugacy classes in the Weyl group to the set of unipotent classes in G.
منابع مشابه
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 G0 is reductive. Let W be the Weyl group of G and let D be a connected component of G whose image in G/G0 is unipotent. In this paper we define a map from the set of “twisted conjugacy classes” in W to the set of unipotent G0-conjugacy classes in D generalizing an earlier construction which applied wh...
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متن کاملResearch Summary and Plan
My research focuses on topics related to unipotent classes and Springer theory for algebraic groups. These concepts are intimately related to the representation theory of Weyl groups. I have recently also become interested in complex reflection groups, which can be viewed as generalizations of Weyl groups. Combinatorial methods and algorithms have a long history as a means for studying all of t...
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