On two families of quantum vertex algebras of FRT-type
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914004780187648 |
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| author | Bagnoli, Lucia Butorac, Marijana Kožić, Slaven |
| author_facet | Bagnoli, Lucia Butorac, Marijana Kožić, Slaven |
| contents | We consider two new families of quantum vertex algebras which are associated with the type $A$ trigonometric $R$-matrix and elliptic $R$-matrix of the eight-vertex model. We show that their $ϕ$-coordinated representation theory is governed by the so-called FRT-operator, $h$-adically restricted operator satisfying the FRT-relation, and we demonstrate some applications of this result. Finally, in the elliptic case, we investigate the properties of the quantum determinant associated with the corresponding quantum vertex algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17625 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On two families of quantum vertex algebras of FRT-type Bagnoli, Lucia Butorac, Marijana Kožić, Slaven Quantum Algebra Mathematical Physics We consider two new families of quantum vertex algebras which are associated with the type $A$ trigonometric $R$-matrix and elliptic $R$-matrix of the eight-vertex model. We show that their $ϕ$-coordinated representation theory is governed by the so-called FRT-operator, $h$-adically restricted operator satisfying the FRT-relation, and we demonstrate some applications of this result. Finally, in the elliptic case, we investigate the properties of the quantum determinant associated with the corresponding quantum vertex algebra. |
| title | On two families of quantum vertex algebras of FRT-type |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2501.17625 |