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arXiv · 1304.4353

Representations of Homotopy Lie-Rinehart Algebras

Luca Vitagliano
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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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BibTeXRIS

Luca Vitagliano. 2014-11-20. Representations of Homotopy Lie-Rinehart Algebras. https://doi.org/10.1017/s0305004114000541

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