Abstract
ABSTRACT Let be a Hopf algebra with invertible antipode, a Yetter-Drinfeld module algebra and the category of Hopf Yetter-Drinfeld -module. In this note it is discussed when the category is braided monoidal. In fact the following is proved: assume that is -commutative. Then the braiding on the category of Yetter-Drinfeld modules induces a braiding on if and only if every object of is dyslectic.
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