Homotopy type of the nilpotent orbits in classical Lie algebras

DOI10.1215/21562261-2023-0009arXiv2203.10310MaRDI QIDQ6185319

Pralay Chatterjee, Indranil Biswas, Chandan Maity

Publication date: 8 January 2024

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

Full work available at URL: https://arxiv.org/abs/2203.10310

zbMATH Keywords

homogeneous spacesclassical groupsnilpotent orbit

Mathematics Subject Classification ID

Homology and cohomology of homogeneous spaces of Lie groups (57T15) Coadjoint orbits; nilpotent varieties (17B08)

Cites Work

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• Symplectic geometry of semisimple orbits
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• Cohomology of the minimal nilpotent orbit
• Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action
• The Torus-Equivariant Cohomology of Nilpotent Orbits
• ON THE EXACTNESS OF KOSTANT–KIRILLOV FORM AND THE SECOND COHOMOLOGY OF NILPOTENT ORBITS
• On Covariant Fiberings of Klein Spaces
• The component groups of nilpotents in exceptional simple real lie algebras

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