sl(N) Onsager's Algebra and Integrability
High Energy Physics - Theory
2016-09-06 v1
Abstract
We define an analog of Onsager's Algebra through a finite set of relations that generalize the Dolan Grady defining relations for the original Onsager's Algebra. This infinite-dimensional Lie Algebra is shown to be isomorphic to a fixed point subalgebra of Loop Algebra with respect to a certain involution. As the consequence of the generalized Dolan Grady relations a Hamiltonian linear in the generators of Onsager's Algebra is shown to posses an infinite number of mutually commuting integrals of motion.
Cite
@article{arxiv.hep-th/9502068,
title = {sl(N) Onsager's Algebra and Integrability},
author = {D. Uglov and I. Ivanov},
journal= {arXiv preprint arXiv:hep-th/9502068},
year = {2016}
}