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Oxford Quantum Talks Archive

Kleisli Hopf Algebras

Joost Vercruysse, Free University Brussels
Flowin'Cat 2010, October 2010, University of Oxford

Starting with a monoidal monad M on a braided monoidal category A, we consider the associated Kleisli category. This Kleisli category turns out to be again a braided monoidal category and Hopf algebras in this new category will be termed Kleisli Hopf algebras. Van Daele's multiplier Hopf algebras with central local units (e.g. discrete quantum groups) and Turaev's Hopf group coalgebras arise as natural examples of our theory, under an appropriate choice for M and A. This is joint work with Kris Janssen.

[video] [streaming video] [slides]