Triple Cohomology of Lie-Rinehart Algebras and the Canonical Class of Associative Algebras

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We introduce a bicomplex which computes the triple cohomology of Lie--Rinehart algebras. We prove that the triple cohomology is isomorphic to the Rinehart cohomology \cite{Ri} provided the Lie--Rinehart algebra is projective over the corresponding commutative algebra. As an application we construct a canonical class in the third dimensional cohomology corresponding to an associative algebra.

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K-Theory and Homology, Differential Geometry, 18G60, 16W25, 17A99

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http://salesiana.dossiersoluciones.com/handle/123456789/68183

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307354
 http://arxiv.org/abs/math/0307354

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arXiv