Given a classical semisimple complex algebraic group G and a symmetric pair (G,K) of Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. We show that all such orbit closures are normal and describe the K-module structure of their ring of regular functions.
Regular functions on spherical nilpotent orbits in complex symmetric pairs: Classical Hermitian cases / Bravi, Paolo; Gandini, Jacopo. - In: KYOTO JOURNAL OF MATHEMATICS. - ISSN 2156-2261. - 60:2(2020), pp. 405-450. [10.1215/21562261-2019-0039]
Regular functions on spherical nilpotent orbits in complex symmetric pairs: Classical Hermitian cases
Bravi, Paolo;Gandini, Jacopo
2020
Abstract
Given a classical semisimple complex algebraic group G and a symmetric pair (G,K) of Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. We show that all such orbit closures are normal and describe the K-module structure of their ring of regular functions.File allegati a questo prodotto
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