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.

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

Gandini, Jacopo
2020

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.
Bravi, Paolo; Gandini, Jacopo
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/766756
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