Homology, Homotopy and Applications

Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs

Lars Kjeseth

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

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.

Primary Subjects: 17B55

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hha/1140370269
Mathematical Reviews number (MathSciNet): MR1854642
Zentralblatt MATH identifier: 1005.17016


2009 © International Press of Boston