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

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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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Quantum Algebra, Category Theory, 16W30; 18D10

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http://salesiana.dossiersoluciones.com/handle/123456789/145540

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.1133
 http://arxiv.org/abs/0801.1133

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arXiv