Matrix factorizations and pentagon maps
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913309314252800 |
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| author | Kassotakis, Pavlos |
| author_facet | Kassotakis, Pavlos |
| contents | We propose a specific class of matrices which participate in factorization problems that turn to be equivalent to constant and entwining (non-constant) pentagon, reverse-pentagon or Yang-Baxter maps, expressed in non-commutative variables. In detail, we show that factorizations of order $N=2$ matrices of this specific class are equivalent to the homogeneous normalization map. From order $N=3$ matrices, we obtain an extension of the homogeneous normalization map, as well as novel entwining pentagon, reverse-pentagon and Yang-Baxter maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02889 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Matrix factorizations and pentagon maps Kassotakis, Pavlos Exactly Solvable and Integrable Systems Mathematical Physics We propose a specific class of matrices which participate in factorization problems that turn to be equivalent to constant and entwining (non-constant) pentagon, reverse-pentagon or Yang-Baxter maps, expressed in non-commutative variables. In detail, we show that factorizations of order $N=2$ matrices of this specific class are equivalent to the homogeneous normalization map. From order $N=3$ matrices, we obtain an extension of the homogeneous normalization map, as well as novel entwining pentagon, reverse-pentagon and Yang-Baxter maps. |
| title | Matrix factorizations and pentagon maps |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2302.02889 |