Higher rank elliptic partition functions and multisymmetric elliptic functions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910800864608256 |
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| author | Gerrard, Allan John Motegi, Kohei Sakai, Kazumitsu |
| author_facet | Gerrard, Allan John Motegi, Kohei Sakai, Kazumitsu |
| contents | We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher rank elliptic partition functions and multisymmetric elliptic functions Gerrard, Allan John Motegi, Kohei Sakai, Kazumitsu Mathematical Physics We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions. |
| title | Higher rank elliptic partition functions and multisymmetric elliptic functions |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2412.13561 |