Homology, Homotopy and Applications

Volume 3 (2001)

Number 1

Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs

Pages: 139 – 163

DOI: http://dx.doi.org/10.4310/HHA.2001.v3.n1.a7

Author

Lars Kjeseth

Abstract

We define homotopy Lie-Rinehart pairs and the associated homotopy Rinehart algebra in the context of coalgebras. We define homotopy Lie-Rinehart resolutions and present conditions under which the associated homotopy Rinehart algebra is a cohomological model for the Rinehart algebra of the resolved Lie-Rinehart pair.

2010 Mathematics Subject Classification

17B55

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