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September 2020 Regular functions on spherical nilpotent orbits in complex symmetric pairs: Exceptional cases
Paolo Bravi, Jacopo Gandini
Kyoto J. Math. 60(3): 1051-1096 (September 2020). DOI: 10.1215/21562261-2019-0056

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 G 2 , and we compute the K -module structure of the ring of regular functions on their normalizations.

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Paolo Bravi. Jacopo Gandini. "Regular functions on spherical nilpotent orbits in complex symmetric pairs: Exceptional cases." Kyoto J. Math. 60 (3) 1051 - 1096, September 2020. https://doi.org/10.1215/21562261-2019-0056

Information

Received: 31 October 2017; Revised: 27 March 2018; Accepted: 9 April 2018; Published: September 2020
First available in Project Euclid: 12 August 2020

MathSciNet: MR4134359
Digital Object Identifier: 10.1215/21562261-2019-0056

Subjects:
Primary: 14M27
Secondary: 20G05

Rights: Copyright © 2020 Kyoto University

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Vol.60 • No. 3 • September 2020
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