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.

Regular functions on spherical nilpotent orbits in complex symmetric pairs: Classical Hermitian cases

J. Gandini
2020

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/731284
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