On the invertibility of quantization functors
| dc.creator | Enriquez, B. | |
| dc.creator | Etingof, P. | |
| dc.date | 2003-06-12 | |
| dc.date.accessioned | 2026-07-07T04:58:57Z | |
| dc.date.available | 2026-07-07T04:58:57Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0306212 | |
| dc.identifier | http://arxiv.org/abs/math/0306212 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67789 | |
| dc.subject | Quantum Algebra | |
| dc.title | On the invertibility of quantization functors | |
| dc.type | text |