On Lusztig's map for spherical unipotent conjugacy classes
نویسندگان
چکیده
منابع مشابه
A classification of unipotent spherical conjugacy classes in bad characteristic
Let G be a simple algebraic group over an algebraically closed field k of bad characteristic. We classify the spherical unipotent conjugacy classes of G. We also show that if the characteristic of k is 2, then the fixed point subgroup of every involutorial automorphism (involution) of G is a spherical subgroup of G.
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Let G be a simple algebraic group over an algebraically closed field k of characteristic zero and O be a spherical conjugacy class of G. We determine the decomposition of the coordinate ring k[O] of O into simple G-modules.
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Let G be a connected reductive group over an algebraically closed field of characteristic p. In an earlier paper we defined a surjective map Φp from the set W of conjugacy classes in the Weyl group W to the set of unipotent classes in G. Here we prove three results for Φp. First we show that Φp has a canonical one-sided inverse. Next we show that Φ0 = rΦp for a unique map r. Finally, we constru...
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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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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2013
ISSN: 0024-6093
DOI: 10.1112/blms/bdt048