2003/07/27 by J. M. Casas, Casas, J. M., M. Ladra +3
Mathematics · #16W25 #17A99 #18G60 #Differential Geometry (math.DG) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.DG #math.KT #msc:16W25 #msc:17A99 #msc:18G60
paper · pdf · doi:10.48550/arxiv.math/0307354
arxiv created 2004/03/05 · arxiv updated 2009/12/01
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 \citeRi 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.