The monoidal category of Yetter-Drinfeld modules over a weak braided Hopf algebra

Details The monoidal category of Yetter-Drinfeld modules over a weak braided Hopf algebra The monoidal category of Yetter-Drinfeld modules over a weak braided Hopf algebra

2012-03-12

arxiv.org/abs/1203.2474v1

Mathematics

Quantum Algebra

Scientific paper

In this paper we introduce the notion of weak operator and the theory of Yetter-Drinfeld modules over a weak braided Hopf algebra with invertible antipode in a strict monoidal category. We prove that the class of such objects constitutes a non strict monoidal category. It is also shown that this category is not trivial, that is to say that it admits objects generated by the adjoint action (coaction) associated to the weak braided Hopf algebra.

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