Regular functions on spherical nilpotent orbits in complex symmetric pairs: exceptional cases

DOI10.1215/21562261-2019-0056zbMath1460.14115arXiv1710.11468OpenAlexW3039314972MaRDI QIDQ2216694

Paolo Bravi, Jacopo Gandini

Publication date: 16 December 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.11468

zbMATH Keywords

normalitysymmetric spacesnilpotent orbitsspherical varieties

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Compactifications; symmetric and spherical varieties (14M27)

Uses Software

• GAP
• SLA

Cites Work

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• Classification of nilpotent elements in simple real Lie algebras \(E_{6(6)}\) and \(E_{6(-26)}\) and description of their centralizers
• Normal nilpotent varieties in \(F_4\)
• Normality of nilpotent varieties in \(E_{6}\).
• Some amazing properties of spherical nilpotent orbits
• Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases
• Projective normality of model varieties and related results
• Decomposition Varieties in Semisimple Lie Algebras
• The spherical systems of the wonderful reductive subgroups

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