On the coordinate ring of spherical conjugacy classes |
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Authors: | Mauro Costantini |
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Affiliation: | (1) Department of Mathematics, University of Leicester, Leicester, LE1 7RH, UK;(2) School of Mathematics, University of Birmingham, Birmingham, B15 2TT, UK |
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Abstract: | Let G be a simple algebraic group over an algebraically closed field k of characteristic zero and O{mathcal{O}} be a spherical conjugacy class of G. We determine the decomposition of the coordinate ring k[O]{k[mathcal{O}]} of O{mathcal{O}} into simple G-modules. |
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