Classical Limit of the Scaled Elliptic Algebra $A_{\hbar,η}(sl_2)$
| dc.creator | Khoroshkin, S. | |
| dc.creator | Lebedev, D. | |
| dc.creator | Pakuliak, S. | |
| dc.creator | Stolin, A. | |
| dc.creator | Tolstoy, V. | |
| dc.date | 1997-03-27 | |
| dc.date | 1998-05-12 | |
| dc.date.accessioned | 2026-07-07T09:08:46Z | |
| dc.date.available | 2026-07-07T09:08:46Z | |
| dc.description | The classical limit of the scaled elliptic algebra $A_{\hbar,η}(sl_2)$ is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic $sl_2$ valued functions on a strip and as an extended algebra of decreasing automorphic $sl_2$ valued functions on the real line. A bialgebra structure and an infinite-dimensional representation in the Fock space are studied. The classical limit of elliptic algebra $A_{q,p}(sl_2)$ is also briefly presented. | |
| dc.description | LaTeX 2.09, 2 figs under bezier.sty, macros use AMS fonts, 18 pages One incorrect statement is corrected, note and 3 ref. are added | |
| dc.identifier | https://arxiv.org/abs/q-alg/9703043 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9703043 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150839 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37 (Primary) 81R50 (Secondary) | |
| dc.title | Classical Limit of the Scaled Elliptic Algebra $A_{\hbar,η}(sl_2)$ | |
| dc.type | text |