Elliptic algebras

  title={Elliptic algebras},
  author={Alexander Odesskii},
The survey is devoted to associative Z≥0-graded algebras presented by n generators and n(n−1) 2 quadratic relations and satisfying the socalled 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… CONTINUE READING

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