Given a classical semisimple complex algebraic group G and 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.
Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases / Bravi, Paolo; Chirivì, Rocco; Gandini, Jacopo. - In: KYOTO JOURNAL OF MATHEMATICS. - ISSN 2156-2261. - STAMPA. - 57:4(2017), pp. 717-787. [10.1215/21562261-2017-0013]
Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases
BRAVI, Paolo;
2017
Abstract
Given a classical semisimple complex algebraic group G and 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 | Dimensione | Formato | |
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