Elliptic algebras
量子代数
2007-05-23 v1 高能物理 - 理论
代数几何
可精确求解与可积系统
摘要
The survey is devoted to associative -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.
引用
@article{arxiv.math/0303021,
title = {Elliptic algebras},
author = {Alexander Odesskii},
journal= {arXiv preprint arXiv:math/0303021},
year = {2007}
}
备注
Latex, 50 pages, to appear in Russian Math. Surveys 57:6 (2002)