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Lie-Hopf algebras and their Hopf cyclic cohomology
Lie-Hopf algebras Hopf cyclic cohomology
2011/2/24
The correspondence between Lie algebras, Lie groups, and alge-braic groups, on one side and commutative Hopf algebras on the other side are known for a long time by works of Hochschild-Mostow and othe...
We define cup coproducts for Hopf cyclic cohomology of Hopf algebras and for its dual theory. We show that for universal enveloping algebras and group algebras our coproduct recovers the standard copr...
Hopf cyclic cohomology and transverse characteristic classes
Hopf cyclic cohomology transverse characteristic classes
2010/11/30
By refining the cyclic cohomological apparatus for computing the Hopf cyclic cohomology of the Hopf algebras associated to infinite primitive Cartan-Lie pseudogroup, we explicitly identify, as a Hopf ...
Cup products in Hopf cyclic cohomology with coefficients in contramodules
Hopf cyclic cohomology cup products contramodules
2010/12/13
We use stable anti Yetter-Drinfeld contramodules to improve the cup products in Hopf cyclic cohomology. The improvement fixes the lack of functoriality of the cup products previously defined and show ...