Poisson algebras associated to quasi-Hopf algebras

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We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by h-adic valuation conditions. We show that any QHQUE algebra is twist-equivalent to an admissible one. We prove a related statement: any associator is twist-equivalent to a Lie associator. We attach a quantized formal series algebra to each admissible QHQUE algebra and study the resulting Poisson algebras.
We construct a lift for any Lie quasi-bialgebra with zero cobracket

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/65754

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211357
 http://arxiv.org/abs/math/0211357

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arXiv