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math.QA2015★ 1 cited
Multiplier Hopf monoids
Gabriella B"ohm, Stephen Lack
The notion of multiplier Hopf monoid in any braided monoidal category is introduced as a multiplier bimonoid whose constituent fusion morphisms are isomorphisms. In the category of…
math.QA2014★ 6 cited
Multiplier bialgebras in braided monoidal categories
Gabriella Böhm, Stephen Lack
Multiplier bimonoids (or bialgebras) in arbitrary braided monoidal categories are defined. They are shown to possess monoidal categories of comodules and modules. These facts are e…
math.QA2010★ 164 cited
Hopf monads on monoidal categories
Alain Bruguières, Steve Lack, Alexis Virelizier
We define Hopf monads on an arbitrary monoidal category, extending the definition given previously for monoidal categories with duals. A Hopf monad is a bimonad (or opmonoidal mona…