ON THE EXACTNESS OF KOSTANT–KIRILLOV FORM AND THE SECOND COHOMOLOGY OF NILPOTENT ORBITS

DOI10.1142/S0129167X12500863zbMath1250.57046arXiv1203.6018MaRDI QIDQ2909483

Indranil Biswas, Pralay Chatterjee

Publication date: 30 August 2012

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

Full work available at URL: https://arxiv.org/abs/1203.6018

zbMATH Keywords

Homogeneous spacesNilpotent orbitKostant-Kirillov form

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (5)

The enhanced period map and equivariant deformation quantizations of nilpotent orbits ⋮ Homotopy type of the nilpotent orbits in classical Lie algebras ⋮ On the second cohomology of nilpotent orbits in exceptional Lie algebras ⋮ The second cohomology groups of nilpotent orbits in classical Lie algebras ⋮ Unipotent ideals for spin and exceptional groups

Cites Work

• Symplectic geometry of semisimple orbits
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• On Covariant Fiberings of Klein Spaces
• Lie groups beyond an introduction
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