Quantum toroidal and shuffle algebras
© 2020 Elsevier Inc. In this paper, we prove that the quantum toroidal algebra Uq,q‾(gl¨n) is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R−matrix of the quantum...
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| Format: | Article |
| Language: | English |
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Elsevier BV
2021
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| Online Access: | https://hdl.handle.net/1721.1/135462 |
| _version_ | 1811089974036004864 |
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| author | Neguţ, Andrei |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Neguţ, Andrei |
| author_sort | Neguţ, Andrei |
| collection | MIT |
| description | © 2020 Elsevier Inc. In this paper, we prove that the quantum toroidal algebra Uq,q‾(gl¨n) is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R−matrix of the quantum toroidal algebra. |
| first_indexed | 2024-09-23T14:28:54Z |
| format | Article |
| id | mit-1721.1/135462 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:28:54Z |
| publishDate | 2021 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | mit-1721.1/1354622023-12-20T16:30:00Z Quantum toroidal and shuffle algebras Neguţ, Andrei Massachusetts Institute of Technology. Department of Mathematics © 2020 Elsevier Inc. In this paper, we prove that the quantum toroidal algebra Uq,q‾(gl¨n) is isomorphic to the double shuffle algebra of Feigin and Odesskii for the cyclic quiver. The shuffle algebra viewpoint will allow us to prove a factorization formula for the universal R−matrix of the quantum toroidal algebra. 2021-10-27T20:23:33Z 2021-10-27T20:23:33Z 2020 2021-05-25T14:00:49Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135462 en 10.1016/J.AIM.2020.107288 Advances in Mathematics Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV arXiv |
| spellingShingle | Neguţ, Andrei Quantum toroidal and shuffle algebras |
| title | Quantum toroidal and shuffle algebras |
| title_full | Quantum toroidal and shuffle algebras |
| title_fullStr | Quantum toroidal and shuffle algebras |
| title_full_unstemmed | Quantum toroidal and shuffle algebras |
| title_short | Quantum toroidal and shuffle algebras |
| title_sort | quantum toroidal and shuffle algebras |
| url | https://hdl.handle.net/1721.1/135462 |
| work_keys_str_mv | AT negutandrei quantumtoroidalandshufflealgebras |