Representations of Homotopy Lie-Rinehart Algebras
Quantum Algebra
2015-01-23 v4 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1304.4353,
title = {Representations of Homotopy Lie-Rinehart Algebras},
author = {Luca Vitagliano},
journal= {arXiv preprint arXiv:1304.4353},
year = {2015}
}
Comments
v2: 29 pages, 3 tables, title changed, examples and references added. v3: 32 pages, examples added. Typos and a (minor) mistake corrected. v4: typos corrected, accepted for publication on Math. Proc. Camb. Phil. Soc., Comments still welcome!