On algebraic structures underlying the rational Kashiwara-Miwa-type models
Mathematical Physics
2025-08-19 v1 math.MP
Abstract
The rational Kashiwara-Miwa model is an example of an Ising-type integrable model of the statistical physics, related to the six-vertex trigonometric -matrix. Two-spin edge weights of the model are expressed in the terms of -products, its spins are arbitrary integers, and . We discuss in this paper the algebraic structures underlying the model, in particular its relation to the -oscillator algebra, to representations of the -oscillator algebra and to the co-product of the -oscillator algebra.
Keywords
Cite
@article{arxiv.2508.12537,
title = {On algebraic structures underlying the rational Kashiwara-Miwa-type models},
author = {Sergey Sergeev},
journal= {arXiv preprint arXiv:2508.12537},
year = {2025}
}