Double-loop algebras and the Fock space
| dc.creator | Varagnolo, M. | |
| dc.creator | Vasserot, E. | |
| dc.date | 1996-12-30 | |
| dc.date | 1997-09-26 | |
| dc.date.accessioned | 2026-07-07T09:04:58Z | |
| dc.date.available | 2026-07-07T09:04:58Z | |
| dc.description | The fermionic Fock space admits two different actions of the quantized enveloping algebra of $\hat\sln$> The first one is a q-deformation of the well-known level-one representation of the affine Lie algebra and the second one is a new level-zero action arising from solvable lattices models. In this paper we prove that these two constructions can be glued together to get a representation of a new object: the toridal quantum group. This representation involves some difference operatorators. It is due to the fact that the specialization at q=1 of the toroidal algebra is isomorphic to the enveloping algebra of the universal central extension of a current algebra over a quantum torus. | |
| dc.description | final version, accepted for publication in Invent. Math | |
| dc.identifier | https://arxiv.org/abs/q-alg/9612035 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9612035 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149576 | |
| dc.subject | Quantum Algebra | |
| dc.title | Double-loop algebras and the Fock space | |
| dc.type | text |