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Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases (1612.01300v2)
Published 5 Dec 2016 in math.RT and math.AG
Abstract: Given a classical semisimple complex algebraic group G and a symmetric pair (G,K) of Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. We show that all such orbit closures are normal and describe the K-module structure of their ring of regular functions.
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