Cup Coproducts in Hopf Cyclic Cohomology

2010/11/11 by Hassanzadeh, Mohammad, Khalkhali, Masoud
#18GXX (Secondary) #19-XX (Primary) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1011.2735

Abstract

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 coproducts on Lie algebra homology and group homology, respectively.

Related

• Cup Products in Hopf-Cyclic Cohomology
• Cup products in Hopf cyclic cohomology via cyclic modules I
• Cyclic Cohomology of Hopf algebras and Hopf Algebroids
• Pairings in Hopf-cyclic cohomology of algebras and coalgebras with coefficients
• Cup products in Hopf cyclic cohomology with coefficients in contramodules