The cohomology of the cotangent bundle of Heisenberg groups.

DOI10.1016/S0001-8708(03)00051-3zbMath1037.17020OpenAlexW2034804756MaRDI QIDQ1421906

Paulo Tirao, Leandro Cagliero

Publication date: 3 February 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0001-8708(03)00051-3

zbMATH Keywords

cotangent bundleHeisenbergHeisenberg Lie algebrasLie cohomologysheaves cohomology

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Cohomology of Lie (super)algebras (17B56)

Related Items (9)

Adjoint cohomology of two-step nilpotent Lie superalgebras ⋮ Hochschild cohomology of generalised Grassmannians ⋮ The adjoint homology of a family of 2-step nilradicals ⋮ Representation theory and homological stability. ⋮ A closed formula for weight multiplicities of representations of \(\text{Sp}(\mathbb C)\) ⋮ The cohomology of filiform Lie algebras of maximal rank ⋮ On the adjoint homology of 2-step nilpotent Lie algebras ⋮ The Lie algebra of derivations of a current Lie algebra ⋮ Tanaka structures (non holonomic \(G\)-structures) and Cartan connections

Cites Work

• Unnamed Item
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• Homogeneous vector bundles
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Lie algebra cohomology and generalized Schubert cells
• Some geometric and analytic properties of homogeneous complex manifolds. I: Sheaves and cohomology. II: Deformation and bundle theory
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• The Adjoint Homology of the Free 2-Step Nilpotent Lie Algebra
• Cohomology of Heisenberg Lie Algebras
• Cohomologie adjointe des algebres de lie de heisenberg
• A DUALITY THEOREM FOR THE COHOMOLOGY OF LIE ALGEBRAS
• Closed Manifolds with Homogeneous Complex Structure

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