Triple cohomology of LieRinehart algebras and the canonical class of associative algebras. ArXive math.KT/0307354
| Citations: | 2 - 1 self |
BibTeX
@MISC{Casas_triplecohomology,
author = {J. M. Casas and M. Ladra and T. Pirashvili},
title = {Triple cohomology of LieRinehart algebras and the canonical class of associative algebras. ArXive math.KT/0307354},
year = {}
}
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Abstract
Dedicated to the memory of Prof. A. R.-Grandjeán Abstract We apply the general theory of triple cohomology to Lie-Rinehart algebras in oreder to construct a canonical class in the third dimensional cohomology corresponding to an associative algebra. We prove that the triple cohomology is isomorphic to the Rinehart cohomology [11] provided the Lie-Rinehart algebra is projective over the corresponding commutative algebra. Key words: Lie-Rinehart algebra, Hochschild cohomology, cotriple. A. M. S. Subject Class. (2000): 18G60, 16W25, 17A99.
