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arXiv · 0801.1133

Monoidal categories of comodules for coquasi Hopf algebras and Radford's formula

Walter Ferrer Santos·Ignacio Lopez Franco
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Abstract

We study the basic monoidal properties of the category of Hopf modules for a coquasi Hopf algebra. In particular we discuss the so called fundamental theorem that establishes a monoidal equivalence between the category of comodules and the category of Hopf modules. We present a categorical proof of Radford's $S^4$ formula for the case of a finite dimensional coquasi Hopf algebra, by establishing a monoidal isomorphism between certain double dual functors.

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Walter Ferrer Santos, Ignacio Lopez Franco. 2008-01-07. Monoidal categories of comodules for coquasi Hopf algebras and Radford's formula. https://arxiv.org/abs/0801.1133

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