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

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

2008-01-07

arxiv.org/abs/0801.1133v1

Mathematics

Quantum Algebra

Scientific paper

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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