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Representations of Homotopy Lie–Rinehart Algebras

Published online by Cambridge University Press:  04 December 2014

LUCA VITAGLIANO
LUCA VITAGLIANO*
Affiliation:
DipMat, Università degli Studi di Salerno, & Istituto Nazionale di Fisica Nucleare, GC Salerno, Via Giovanni Paolo II n° 123, 84084 Fisciano (SA), Italy. e-mail: lvitagliano@unisa.it
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Abstract

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

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 158 , Issue 1 , January 2015 , pp. 155 - 191
Copyright
Copyright © Cambridge Philosophical Society 2014 

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