Poisson algebras associated to quasi-Hopf algebras

Details Poisson algebras associated to quasi-Hopf algebras Poisson algebras associated to quasi-Hopf algebras

2002-11-22

arxiv.org/abs/math/0211357v2

Mathematics

Quantum Algebra

We construct a lift for any Lie quasi-bialgebra with zero cobracket

Scientific paper

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.

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