Obstructions to Lie–Rinehart Algebra Extensions

DOI10.1142/S1005386711000046zbMath1237.17020WikidataQ115245022 ScholiaQ115245022MaRDI QIDQ3067770

José Manuel Casas Mirás

Publication date: 13 January 2011

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

Full work available at URL: http://worldscinet.com/ac/18/1801/S1005386711000046.html

zbMATH Keywords

cohomologyobstructionextensionactionactorabstract kernelLie-Rinehart algebra

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Cohomology of Lie (super)algebras (17B56) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (6)

Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ Restricted and quasi-toral restricted Lie-Rinehart algebras ⋮ Graded Lie-Rinehart algebras ⋮ Split Lie–Rinehart algebras ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras ⋮ Categorical structures of Lie–Rinehart crossed module

Cites Work

• Crossed modules for Lie-Rinehart algebras.
• Universal strict general actors and actors in categories of interest
• Triple cohomology of Lie-Rinehart algebras and the canonical class of associative algebras

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