Monodromy of trigonometric KZ equations
| dc.creator | Etingof, Pavel | |
| dc.creator | Geer, Nathan | |
| dc.date | 2006-10-31 | |
| dc.date.accessioned | 2026-07-07T07:32:23Z | |
| dc.date.available | 2026-07-07T07:32:23Z | |
| dc.description | The famous Drinfeld-Kohno theorem for simple Lie algebras states that the monodromy representation of the Knizhnik-Zamolodchikov equations for these Lie algebras expresses explicitly via R-matrices of the corresponding Drinfeld-Jimbo quantum groups. This result was generalized by the second author to simple Lie superalgebras of type A-G. In this paper, we generalize the Drinfeld-Kohno theorem to the case of the trigonometric Knizhnik-Zamolodchikov equations for simple Lie superalgebras of type A-G. The equations contain a classical r-matrix on the Lie superalgebra, and the answer expresses through the quantum R-matrix of the corresponding quantum group. The proof is based on the quantization theory for Lie bialgebras developed by the first author and D. Kazhdan. | |
| dc.identifier | https://arxiv.org/abs/math/0611003 | |
| dc.identifier | http://arxiv.org/abs/math/0611003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119098 | |
| dc.subject | Quantum Algebra | |
| dc.title | Monodromy of trigonometric KZ equations | |
| dc.type | text |