On Cohomology of Hopf Algebroids
نویسنده
چکیده
Inspired by [3] we introduce the concept of extended Hopf algebra and consider their cyclic cohomology in the spirit of Connes-Moscovici [3, 4, 5]. Extended Hopf algebras are closely related, but different from, Hopf algebroids. Their definition is motivated by attempting to define cyclic cohomology of Hopf algebroids in general. Many of Hopf algebra like structures, including the Connes-Moscovici algebra HFM are extended Hopf algebras. We show that the cyclic cohomology of the extended Hopf algebra U(L,R) naturally associated to a Lie-Rinehart algebra (L,R) coincides with the homology of (L,R). We also give some other examples of extended Hopf algebras and their cyclic cohomology.
منابع مشابه
Para-Hopf algebroids and their cyclic cohomology
We introduce the concept of para-Hopf algebroid and define their cyclic cohomology in the spirit of Connes-Moscovici cyclic cohomology for Hopf algebras. Para-Hopf algebroids are closely related to, but different from, Hopf algebroids. Their definition is motivated by attempting to define a cyclic cohomology theory for Hopf algebroids in general. We show that many of Hopf algebraic structures, ...
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