Homology, Homotopy and Applications

Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs

Lars Kjeseth

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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.

Article information

Source
Homology Homotopy Appl. Volume 3, Number 1 (2001), 139-163.

Dates
First available in Project Euclid: 19 February 2006

Permanent link to this document
http://projecteuclid.org/euclid.hha/1140370269

Mathematical Reviews number (MathSciNet)
MR1854642

Zentralblatt MATH identifier
1005.17016

Subjects
Primary: 17B55: Homological methods in Lie (super)algebras

Citation

Kjeseth, Lars. Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs. Homology, Homotopy and Applications 3 (2001), no. 1, 139--163. http://projecteuclid.org/euclid.hha/1140370269.


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