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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2508.12537 |
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| _version_ | 1866916904861433856 |
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| author | Sergeev, Sergey |
| author_facet | Sergeev, Sergey |
| contents | The rational Kashiwara-Miwa model is an example of an Ising-type integrable model of the statistical physics, related to the six-vertex trigonometric $R$-matrix. Two-spin edge weights of the model are expressed in the terms of $q$-products, its spins are arbitrary integers, and $|q|<1$. We discuss in this paper the algebraic structures underlying the model, in particular its relation to the $q$-oscillator algebra, to representations of the $q$-oscillator algebra and to the co-product of the $q$-oscillator algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On algebraic structures underlying the rational Kashiwara-Miwa-type models Sergeev, Sergey Mathematical Physics 17B37, 17B38, 20G42, 81R50, 82B23 The rational Kashiwara-Miwa model is an example of an Ising-type integrable model of the statistical physics, related to the six-vertex trigonometric $R$-matrix. Two-spin edge weights of the model are expressed in the terms of $q$-products, its spins are arbitrary integers, and $|q|<1$. We discuss in this paper the algebraic structures underlying the model, in particular its relation to the $q$-oscillator algebra, to representations of the $q$-oscillator algebra and to the co-product of the $q$-oscillator algebra. |
| title | On algebraic structures underlying the rational Kashiwara-Miwa-type models |
| topic | Mathematical Physics 17B37, 17B38, 20G42, 81R50, 82B23 |
| url | https://arxiv.org/abs/2508.12537 |