Elliptic algebras
| dc.creator | Odesskii, Alexander | |
| dc.date | 2003-03-03 | |
| dc.date.accessioned | 2026-07-07T04:55:42Z | |
| dc.date.available | 2026-07-07T04:55:42Z | |
| dc.description | The survey is devoted to associative $\Z_{\ge0}$-graded algebras presented by n generators and n(n-1)/2 quadratic relations and satisfying the so-called Poincare-Birkhoff-Witt condition (PBW-algebras). We consider examples of such algebras depending on two continuous parameters (namely, on an elliptic curve and a point on this curve) which are flat deformations of the polynomial ring in n variables. Diverse properties of these algebras are described, together with their relations to integrable systems, deformation quantization, moduli spaces and other directions of modern investigations. | |
| dc.description | Latex, 50 pages, to appear in Russian Math. Surveys 57:6 (2002) | |
| dc.identifier | https://arxiv.org/abs/math/0303021 | |
| dc.identifier | http://arxiv.org/abs/math/0303021 | |
| dc.identifier | Russ.Math.Surveys 57 (2002) 6 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66673 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Elliptic algebras | |
| dc.type | text |