, Volume 264, Issue 2, pp 327-359
Date: 08 Jan 2009

On the coordinate ring of spherical conjugacy classes

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Abstract

Let G be a simple algebraic group over an algebraically closed field k of characteristic zero and \({\mathcal{O}}\) be a spherical conjugacy class of G. We determine the decomposition of the coordinate ring \({k[\mathcal{O}]}\) of \({\mathcal{O}}\) into simple G-modules.