Integrable systems associated with elliptic algebras

Research paper by A. Odesskii, V. Rubtsov

Indexed on: 07 Apr '04Published on: 07 Apr '04Published in: Mathematics - Quantum Algebra


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.