A Note on Cyclic Duality and Hopf Algebras

2003/10/07 by M. Khalkhali, Khalkhali, M., B. Rangipour +1
Mathematics · #FOS: Mathematics #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.KT #math.QA

paper · pdf · doi:10.48550/arxiv.math/0310088

11 pages

arxiv created 2003/10/07 · arxiv updated 2009/12/01

Abstract

We show that various cyclic and cocyclic modules attached to Hopf algebras and Hopf modules are related to each other via Connes' duality isomorphism for the cyclic category.

Related

• A New Cyclic Module for Hopf Algebras
• Cyclic duality between BV algebras and BV modules
• The universal Hopf cyclic theory
• The cyclic theory of Hopf algebroids
• Hopf-cyclic homology and cohomology with coefficients