Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911910854656000 |
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| author | Molev, Alexander Ragoucy, Eric |
| author_facet | Molev, Alexander Ragoucy, Eric |
| contents | We give a new presentation of the Yangian for the orthosymplectic Lie superalgebra $\mathfrak{osp}_{1|2m}$. It relies on the Gauss decomposition of the generator matrix in the $R$-matrix presentation. The defining relations between the Gaussian generators are derived from a new version of the Drinfeld-type presentation of the Yangian for $\mathfrak{osp}_{1|2}$ and some additional relations in the Yangian for $\mathfrak{osp}_{1|4}$ by an application of the embedding theorem for the super-Yangians. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_00977 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$ Molev, Alexander Ragoucy, Eric Quantum Algebra Mathematical Physics We give a new presentation of the Yangian for the orthosymplectic Lie superalgebra $\mathfrak{osp}_{1|2m}$. It relies on the Gauss decomposition of the generator matrix in the $R$-matrix presentation. The defining relations between the Gaussian generators are derived from a new version of the Drinfeld-type presentation of the Yangian for $\mathfrak{osp}_{1|2}$ and some additional relations in the Yangian for $\mathfrak{osp}_{1|4}$ by an application of the embedding theorem for the super-Yangians. |
| title | Gaussian generators for the Yangian associated with the Lie superalgebra $\mathfrak{osp}(1|2m)$ |
| topic | Quantum Algebra Mathematical Physics |
| url | https://arxiv.org/abs/2302.00977 |