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

Bravi, Paolo;Gandini, Jacopo
2017

Abstract

Given a classical semisimple complex algebraic group G and a symmetric pair (G, K) of non-Hermitian type, we study the closures of the spherical nilpotent K -orbits in the isotropy representation of K . For all such orbit closures, we study the normality, and we describe the K -module structure of the ring of regular functions of the normalizations.
2017
Settore MAT/03 - Geometria
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/67714
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