Coinvariants for Yangian doubles and quantum KZ equations
| dc.creator | Enriquez, B. | |
| dc.creator | Felder, G. | |
| dc.date | 1997-07-10 | |
| dc.date | 1997-07-15 | |
| dc.date.accessioned | 2026-07-07T09:08:49Z | |
| dc.date.available | 2026-07-07T09:08:49Z | |
| dc.description | We present a quantum version of the construction of the KZ system of equations as a flat connection on the spaces of coinvariants of representations of tensor products of Kac-Moody algebras. We consider here representations of a tensor product of Yangian doubles and compute the coinvariants of a deformation of the subalgebra generated by the regular functions of a rational curve with marked points. We observe that Drinfeld's quantum Casimir element can be viewed as a deformation of the zero-mode of the Sugawara tensor in the Yangian double. These ingredients serve to define a compatible system of difference equations, which we identify with the quantum KZ equations introduced by I. Frenkel and N. Reshetikhin. | |
| dc.description | Latex file, 21 pages. The new version contains a correction in the definition of evaluation representations and some improvements of the text | |
| dc.identifier | https://arxiv.org/abs/q-alg/9707012 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9707012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150857 | |
| dc.subject | Quantum Algebra | |
| dc.title | Coinvariants for Yangian doubles and quantum KZ equations | |
| dc.type | text |