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From subfactors to categories and topology III. Triangulation invariants of 3-manifolds and Morita equivalence of tensor categories
- In preparation
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YETTER-DRINFELD MODULES FOR TURAEV CROSSED STRUCTURES
, 2002
"... Abstract. We provide an analog of the Joyal-Street center construction and of the Kassel-Turaev categorical quantum double in the context of the crossed categories introduced by Turaev. Then, we focus or attention to the case of categories of representation. In particular, we introduce the notion of ..."
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Abstract. We provide an analog of the Joyal-Street center construction and of the Kassel-Turaev categorical quantum double in the context of the crossed categories introduced by Turaev. Then, we focus or attention to the case of categories of representation. In particular, we introduce the notion of a Yetter-Drinfeld module over a crossed group coalgebra H and we prove that both the
