A New Cyclic Module for Hopf Algebras

By Masoud Khalkhali, B. Rangipour. 2000

58 citations recorded by the source corpus.

We define a new cyclic module, dual to the Connes-Moscovici cyclic module, for Hopf algebras, and give a characteristric map for the coaction of Hopf algebras. We also compute the resulting cyclic homology for cocommutative Hopf algebras, and some quantum groups.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a80c129cb6ab7ad03c2720fa400d15291e4e9287

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In Algebra and Number Theory

1. V. Ginzburg
2. P. M. Hajac
3. B. Rangipour
4. Yorck Sommerhäuser
5. Masoud Khalkhali
6. I. Losev
7. A. Premet
8. T. Arakawa

In Geometry and Topology

1. V. Ginzburg
2. B. Rangipour
3. P. M. Hajac
4. Yorck Sommerhäuser
5. Masoud Khalkhali
6. I. Losev
7. I. Gordon
8. Michel van den Bergh

In Mathematical Physics

1. V. Ginzburg
2. B. Rangipour
3. P. M. Hajac
4. Yorck Sommerhäuser
5. Masoud Khalkhali
6. I. Losev
7. A. Premet
8. I. Gordon

Citations in the corpus

• Lectures on Noncommutative Geometry (2005, background): “([80]) Let H be a commutative Hopf algebra.”
• Hopf-cyclic homology and cohomology with coefficients (2003, background): “Invariant cyclic hom introduced in [7] generalizes the Connes–Moscovici theory and its dual version [8].”