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arXiv · 1009.0803

Duals of Ann-categories

Nguyen Tien Quang·Dang Dinh Hanh
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Abstract

Dual monoidal category $\mathcal C^\ast$ of a monoidal functor $F:\mathcal C\to \mathcal V$ has been constructed by S. Majid. In this paper, we extend the construction of dual structures for an Ann-functor $F:\mathcal B\to \mathcal A$. In particular, when $F=id_{\mathcal A}$, then the dual category $\mathcal A^{\ast}$ is indeed the center of $\mathcal A$ and this is a braided Ann-category.

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Nguyen Tien Quang, Dang Dinh Hanh. 2010-09-04. Duals of Ann-categories. https://doi.org/10.4134/ckms.2012.27.1.023

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