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arXiv · 1602.07141

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

Paolo Bravi·Rocco Chirivì·Jacopo Gandini
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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.

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Paolo Bravi, Rocco Chirivì, Jacopo Gandini. 2016-02-23. Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases. https://doi.org/10.1215/21562261-2017-0013

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