Nonabelian holomorphic Lie algebroid extensions

DOI10.1142/S0129167X15500408zbMath1317.32036arXiv1305.2377OpenAlexW2963055534MaRDI QIDQ5252629

Pietro Tortella, Igor Mencattini, Vladimir Rubtsov, Ugo Bruzzo

Publication date: 2 June 2015

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

Full work available at URL: https://arxiv.org/abs/1305.2377

zbMATH Keywords

holomorphic Lie algebroidcoherent \(\mathcal O\)-module

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (8)

On Lie algebroid over algebraic spaces ⋮ Submersions by Lie algebroids ⋮ Lie algebroid cohomology and Lie algebroid extensions ⋮ Lie algebroid cohomology as a derived functor ⋮ Moduli spaces of \(\Lambda\)-modules on abelian varieties ⋮ Integrable partial differential equations and Lie-Rinehart algebras ⋮ Koszul complexes and spectral sequences associated with Lie algebroids ⋮ On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras

Cites Work

• Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
• Extensions of Lie brackets
• Cohomology of skew-holomorphic Lie algebroids
• \(\Lambda\)-modules and holomorphic Lie algebroid connections
• A cohomology for Lie algebras
• Cohomology theory in abstract groups. I
• Cohomology theory in abstract groups. II
• On the three-dimensional cohomology group of Lie algebras
• Cohomology of Lie algebras
• THE COHOMOLOGY OF THE Der COMPLEX
• Matched pairs of Lie algebroids
• Riemann–Roch for Real Varieties
• Cohomology Classes of Finite Type and Finite Dimensional Kernels for Lie Algebras

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