More properties of Yetter-Drinfeld modules over quasi-Hopf algebras

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We generalize various properties of Yetter-Drinfeld modules over Hopf algebras to quasi-Hopf algebras. The dual of a finite dimensional Yetter-Drinfeld module is again a Yetter-Drinfeld module. The algebra $H_0$ in the category of Yetter-Drinfeld modules that can be obtained by modifying the multiplication in a proper way is quantum commutative. We give a Structure Theorem for Hopf modules in the category of Yetter-Drinfeld modules, and deduce the existence and uniqueness of integrals from it.
22 pages

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Quantum Algebra, 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/69296

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311381
 http://arxiv.org/abs/math/0311381

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arXiv