Lie Infinity-Algebras from Lie Rinehart Pairs
Mirco Richter

TL;DR
This paper extends the Schouten calculus to Lie Rinehart pairs, constructing a non-negatively graded Lie infinity-algebra on their exterior powers, advancing the algebraic framework for these structures.
Contribution
It introduces a novel generalization of Schouten calculus to Lie Rinehart pairs, establishing a Lie infinity-algebra structure on their exterior powers.
Findings
Defined a non-negatively graded Lie oo-algebra on exterior powers of Lie Rinehart pairs.
Generalized classical Schouten calculus to a broader algebraic context.
Provided a new algebraic framework for studying Lie Rinehart pairs.
Abstract
We generalize the Schouten calculus of multivector fields to commutative Lie Rinehart pairs and define a non negatively graded Lie oo-algebra on their exterior power.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models
