Lie algebroids. Lie-Rinehart algebras
Elisabeth Remm
TL;DR
This paper explores the theory of Lie algebroids and Lie-Rinehart algebras, focusing on their construction from contact forms and systems, and investigates specific classes of these algebraic structures.
Contribution
It introduces constructions of Lie algebroids from contact forms and systems and analyzes particular classes of Lie Rinehart algebras, expanding the theoretical framework.
Findings
Construction methods for Lie algebroids from contact structures
Identification of special classes of Lie Rinehart algebras
Enhanced understanding of the algebraic structures related to contact geometry
Abstract
After recalling the notion of Lie algebroid, we construct these structures associated with contact forms or systems. We are then interested in particular classes of Lie Rinehart algebras.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models