Remarks on Yangian-type algebras and double Poisson brackets
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929337040633856 |
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| author | Olshanski, Grigori Safonkin, Nikita |
| author_facet | Olshanski, Grigori Safonkin, Nikita |
| contents | This short note is an announcement of results. We continue the study of Yangian-type algebras initiated in the paper arXiv:2208.04809. These algebras share a number of properties of the Yangians of type A but are more massive. We refine and substantially enlarge the construction of that paper. A direct link with the class of linear double Poisson brackets on the free associative algebras (Pichereau and Van de Weyer, arXiv:math/0701837) is also established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13325 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Remarks on Yangian-type algebras and double Poisson brackets Olshanski, Grigori Safonkin, Nikita Representation Theory Mathematical Physics Quantum Algebra Rings and Algebras This short note is an announcement of results. We continue the study of Yangian-type algebras initiated in the paper arXiv:2208.04809. These algebras share a number of properties of the Yangians of type A but are more massive. We refine and substantially enlarge the construction of that paper. A direct link with the class of linear double Poisson brackets on the free associative algebras (Pichereau and Van de Weyer, arXiv:math/0701837) is also established. |
| title | Remarks on Yangian-type algebras and double Poisson brackets |
| topic | Representation Theory Mathematical Physics Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2308.13325 |