Given a classical semisimple complex algebraic groupGand a symmetric pair (G,K) of non-Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. For all such orbit closures, we study the normality, and we describe the K-module structure of the ring of regular functions of the normalizations.
Bravi, P., Chirivì, R., Gandini, J. (2017). Regular functions on spherical nilpotent orbits in complex symmetric pairs: Classical non-Hermitian cases. KYOTO JOURNAL OF MATHEMATICS, 57(4), 717-787 [10.1215/21562261-2017-0013].
Regular functions on spherical nilpotent orbits in complex symmetric pairs: Classical non-Hermitian cases
J. Gandini
2017
Abstract
Given a classical semisimple complex algebraic groupGand a symmetric pair (G,K) of non-Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. For all such orbit closures, we study the normality, and we describe the K-module structure of the ring of regular functions of the normalizations.File in questo prodotto:
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