Integrable systems associated with elliptic algebras
arXiv:math/0404159
Abstract
We construct some new Integrable Systems (IS) both classical and quantum associated with elliptic algebras. Our constructions are partly based on the algebraic integrability mechanism given by the existence of commuting families in skew fields and partly - on the internal properties of the elliptic algebras and their representations. We give some examples to make an evidence how these IS are related to previously studied.
24 pages, Latex
References in corpus (5)
- Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra
- Hilbert Schemes, Separated Variables, and D-Branes
- Separation of variables for quantum integrable systems on elliptic curves
- Note on the Ruijsenaars-Schneider model
- Commutative Poisson subalgebras for the Sklyanin bracket and deformations of known integrable models