Cohomological splitting of coadjoint orbits
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Publication:1880182
DOI10.1007/S00013-003-4819-5zbMATH Open1059.53068arXivmath/0212384OpenAlexW1552783760MaRDI QIDQ1880182
Publication date: 22 September 2004
Published in: Archiv der Mathematik (Search for Journal in Brave)
Abstract: The rational cohomology of a coadjoint orbit is expressed as tensor product of the cohomology of other coadjoint orbits , with .
Full work available at URL: https://arxiv.org/abs/math/0212384
Global theory of symplectic and contact manifolds (53D35) Symplectic structures of moduli spaces (53D30) Homology and cohomology of homogeneous spaces of Lie groups (57T15)
Related Items (6)
A method of splitting cochain complexes for computing cohomology: Lie algebra of Hamiltonian vector fields H(2\(| \)0) ⋮ Separation of coadjoint orbits of an exponential group by their convex envelops ⋮ Coadjoint orbits and characteristic varieties. ⋮ Quantum cohomology splitting of \(S^2\)-fibration ⋮ Split chief factors and cohomology ⋮ Cohomology of Courant algebroids with split base
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