Deformed quantum vertex algebra modules associated with braidings
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910436791681024 |
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| author | Bagnoli, Lucia Kožić, Slaven |
| author_facet | Bagnoli, Lucia Kožić, Slaven |
| contents | We introduce the notion of deformed quantum vertex algebra module associated with a braiding map. We construct two families of braiding maps over the Etingof-Kazhdan quantum vertex algebras associated with the rational $R$-matrices of classical types. We investigate their properties and demonstrate the applications of the corresponding deformed modules to the (generalized) Yangians and reflection algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04137 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformed quantum vertex algebra modules associated with braidings Bagnoli, Lucia Kožić, Slaven Quantum Algebra Representation Theory We introduce the notion of deformed quantum vertex algebra module associated with a braiding map. We construct two families of braiding maps over the Etingof-Kazhdan quantum vertex algebras associated with the rational $R$-matrices of classical types. We investigate their properties and demonstrate the applications of the corresponding deformed modules to the (generalized) Yangians and reflection algebras. |
| title | Deformed quantum vertex algebra modules associated with braidings |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2405.04137 |