Integrable systems associated with generalized Sklyanin algebra
Exactly Solvable and Integrable Systems
2008-12-31 v1
Abstract
Using the point fusion procedure we obtain the new integrable systems from the Elliptic Schlesinger system (ESS). These new systems have the pole orders higher than one in the matrix of the Lax operator. Quadratic Poisson algebras on the phase space of the new systems generalize the Sklyanin algebras and have the graduated structure.
Cite
@article{arxiv.0812.4786,
title = {Integrable systems associated with generalized Sklyanin algebra},
author = {Yu. Chernyakov},
journal= {arXiv preprint arXiv:0812.4786},
year = {2008}
}
Comments
15 pages