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Poisson algebras associated with quasi-Hopf algebras
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Poisson algebras associated with quasi-Hopf algebras

Benjamin Enriquez et Gilles Halbout
Advances in mathematics (New York. 1965), Vol.186, num. 2, pp.363-395
2004

Résumé

Mathematics Quantum Algebra
We define admissible quasi-Hopf quantized universal enveloping (QHQUE) algebras by planck constant over two pi-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.

Indicateurs

1 Consultations de la notice

Détails

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