Given a classical semisimple complex algebraic group GG and a symmetric pair (G,K)(G,K) of non-Hermitian type, we study the closures of the spherical nilpotent KK-orbits in the isotropy representation of KK. For all such orbit closures, we study the normality, and we describe the KK-module structure of the ring of regular functions of the normalizations.

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

CHIRIVI', Rocco;
2017

Abstract

Given a classical semisimple complex algebraic group GG and a symmetric pair (G,K)(G,K) of non-Hermitian type, we study the closures of the spherical nilpotent KK-orbits in the isotropy representation of KK. For all such orbit closures, we study the normality, and we describe the KK-module structure of the ring of regular functions of the normalizations.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11587/414811
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