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, P., Gandini, J. (2020). Regular functions on spherical nilpotent orbits in complex symmetric pairs: Exceptional cases. KYOTO JOURNAL OF MATHEMATICS, 60(3), 1051-1096 [10.1215/21562261-2019-0056].
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.File in questo prodotto:
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