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.
Regular functions on spherical nilpotent orbits in complex symmetric pairs: Exceptional cases / Bravi, P; Gandini, J. - In: KYOTO JOURNAL OF MATHEMATICS. - ISSN 2156-2261. - 60:3(2020), pp. 1051-1096. [10.1215/21562261-2019-2256]
Regular functions on spherical nilpotent orbits in complex symmetric pairs: Exceptional cases
Bravi, P;
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 G(2), and we compute the K-module structure of the ring of regular functions on their normalizations.File allegati a questo prodotto
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