Representations of Homotopy Lie-Rinehart Algebras

Published 16 Apr 2013 in math.QA and math.KT | (1304.4353v4)

Abstract: I propose a definition of left/right connection along a strong homotopy Lie-Rinehart algebra. This allows me to generalize simultaneously representations up to homotopy of Lie algebroids and actions of strong homotopy Lie algebras on graded manifolds. I also discuss the Schouten-Nijenhuis calculus associated to strong homotopy Lie-Rinehart connections.

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Luca Vitagliano

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