A Drinfeld-type presentation of the orthosymplectic Yangians
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866916143981133824 |
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| author | Molev, A. I. |
| author_facet | Molev, A. I. |
| contents | We use the Gauss decomposition of the generator matrix in the $R$-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra ${\frak osp}_{N|2m}$ to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the $R$-matrix presentation which is isomorphic to the Yangian associated with ${\frak osp}_{N|2m-2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_10419 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A Drinfeld-type presentation of the orthosymplectic Yangians Molev, A. I. Quantum Algebra Mathematical Physics Representation Theory We use the Gauss decomposition of the generator matrix in the $R$-matrix presentation of the Yangian for the orthosymplectic Lie superalgebra ${\frak osp}_{N|2m}$ to produce its Drinfeld-type presentation. The results rely on a super-version of the embedding theorem which allows one to identify a subalgebra in the $R$-matrix presentation which is isomorphic to the Yangian associated with ${\frak osp}_{N|2m-2}$. |
| title | A Drinfeld-type presentation of the orthosymplectic Yangians |
| topic | Quantum Algebra Mathematical Physics Representation Theory |
| url | https://arxiv.org/abs/2112.10419 |