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arXiv · hep-th/9502068

sl(N) Onsager's Algebra and Integrability

D. Uglov·I. Ivanov
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Abstract

We define an $ sl(N) $ 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 $ sl(N) $ Loop Algebra with respect to a certain involution. As the consequence of the generalized Dolan Grady relations a Hamiltonian linear in the generators of $ sl(N) $ Onsager's Algebra is shown to posses an infinite number of mutually commuting integrals of motion.

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D. Uglov, I. Ivanov. 1995-02-12. sl(N) Onsager's Algebra and Integrability. https://doi.org/10.1007/bf02189226

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