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arXiv · 1710.11468

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

Paolo Bravi·Jacopo Gandini
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Abstract

Given an exceptional simple complex algebraic group G and a symmetric pair (G, K), we study the spherical nilpotent K-orbit closures in the isotropy representation of K. We show that they are all normal except in one case in type G2, and compute the K-module structure of the ring of regular functions on their normalizations.

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Paolo Bravi, Jacopo Gandini. 2017-10-31. Regular functions on spherical nilpotent orbits in complex symmetric pairs: exceptional cases. https://arxiv.org/abs/1710.11468

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