On the invertibility of quantization functors

Details On the invertibility of quantization functors On the invertibility of quantization functors

2003-06-12

arxiv.org/abs/math/0306212v1

Mathematics

Quantum Algebra

Scientific paper

Certain quantization problems are equivalent to the construction of morphisms from "quantum" to "classical" props. Once such a morphism is constructed, Hensel's lemma shows that it is in fact an isomorphism. This gives a new, simple proof that any Etingof-Kazhdan quantization functor is an equivalence of categories between quantized universal enveloping (QUE) algebras and Lie bialgebras over a formal series ring (dequantization). We apply the same argument to construct dequantizations of formal solutions of the quantum Yang-Baxter equation and of quasitriangular QUE algebras. We also give structure results for the props involved in quantization of Lie bialgebras, which yield an associator-independent proof that the prop of QUE algebras is a flat deformation of the prop of co-Poisson universal enveloping algebras.

Affiliated with

Also associated with

No associations

Rating

On the invertibility of quantization functors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the invertibility of quantization functors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the invertibility of quantization functors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-26755