Poisson algebras associated to quasi-Hopf algebras
Quantum Algebra
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0211357,
title = {Poisson algebras associated to quasi-Hopf algebras},
author = {B. Enriquez and G. Halbout},
journal= {arXiv preprint arXiv:math/0211357},
year = {2007}
}
Comments
We construct a lift for any Lie quasi-bialgebra with zero cobracket