A cohomological construction of quantization functors of Lie bialgebras

Details A cohomological construction of quantization functors of Lie bialgebras A cohomological construction of quantization functors of Lie bialgebras

2002-12-23

arxiv.org/abs/math/0212325v1

Mathematics

Quantum Algebra

Scientific paper

We propose a variant to the Etingof-Kazhdan construction of quantization functors. We construct the twistor J_\Phi associated to an associator \Phi using cohomological techniques. We then introduce a criterion ensuring that the ``left Hopf algebra'' of a quasitriangular QUE algebra is flat. We prove that this criterion is satisfied at the universal level. This provides a construction of quantization functors, equivalent to the Etingof-Kazhdan construction.

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