Crossed modules for Lie-Rinehart algebras.

DOI10.1016/J.JALGEBRA.2003.10.001zbMath1046.17006OpenAlexW1984496949WikidataQ115351793 ScholiaQ115351793MaRDI QIDQ1429901

Manuel Ladra Gonzalez, Teimouraz Pirashvili, José Manuel Casas Mirás

Publication date: 27 May 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.001

zbMATH Keywords

crossed modulescohomology of Lie algebrasLie-Rinehart algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56)

Related Items (11)

Cohomologies and crossed modules for pre-Lie Rinehart algebras ⋮ Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ Restricted and quasi-toral restricted Lie-Rinehart algebras ⋮ Universal central extensions of Lie–Rinehart algebras ⋮ ACTIONS OF MONOIDAL CATEGORIES AND REPRESENTATIONS OF CARTAN TYPE LIE ALGEBRAS ⋮ Crossed extensions of Lie algebras ⋮ Crossed modules for Hom-Lie–Rinehart algebras ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras ⋮ Categorical structures of Lie–Rinehart crossed module ⋮ Obstructions to Lie–Rinehart Algebra Extensions ⋮ Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras

Cites Work

• Unnamed Item
• Crossed \(n\)-fold extensions of groups and cohomology
• Central extensions of Lie algebras
• Cohomologie et groupe de Steinberg rélatifs
• Poisson cohomology and quantization.
• Differential Forms on General Commutative Algebras

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