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arxiv: 0805.0649 · v2 · submitted 2008-05-06 · 🧮 math.RT · math.GR

On the coordinate ring of spherical conjugacy classes

classification 🧮 math.RT math.GR
keywords conjugacycoordinateringsimplesphericalalgebraicalgebraicallycharacteristic
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Let G be a simple algebraic group over an algebraically closed field of characteristic zero and X be a spherical conjugacy class of G. We determine the decomposition of the coordinate ring of X into simple G-modules.

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