2006.286: Elliptic algebras
2006.286: A. V. Odesskii (2002) Elliptic algebras. Russian Mathematical Surveys, 57 (6). pp. 1127-1162. ISSN 1468-4829
Full text available as:
 | PDF - Archive staff only - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 481 Kb |
DOI: 10.1070/RM2002v057n06ABEH000573
Abstract
This survey is devoted to associative -graded algebras presented by n generators and quadratic relations and satisfying the so-called Poincaré–Birkhoff–Witt condition (PBW-algebras). Examples are considered of such algebras, depending on two continuous parameters (namely, on an elliptic curve and a point on it), that 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.
| Item Type: | Article |
|---|---|
| Subjects: | MSC 2000 > 14 Algebraic geometry MSC 2000 > 16 Associative rings and algebras MSC 2000 > 17 Nonassociative rings and algebras MSC 2000 > 53 Differential geometry |
| MIMS number: | 2006.286 |
| Deposited By: | Miss Louise Stait |
| Deposited On: | 14 August 2006 |
Download Statistics: last 4 weeks
Repository Staff Only: edit this item