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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2409.02021 |
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| _version_ | 1866916546388951040 |
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| author | Liashyk, A. Pakuliak, S. |
| author_facet | Liashyk, A. Pakuliak, S. |
| contents | The connection between the R-matrix realization and Drinfeld's realization of the quantum loop algebra $U_q(D^{(2)}_n)$ is considered using the Gaussian decomposition approach proposed by J. Ding and I. B. Frenkel. Our main result is a description of the embedding $U_q(D^{(2)}_{n-1})\hookrightarrow U_q(D^{(2)}_n)$ that underlies this connection. Explicit relations between all Gaussian coordinates of the L-operators and the currents are presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02021 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the R-matrix realization of the quantum loop algebra. The case of $U_q(D^{(2)}_n)$ Liashyk, A. Pakuliak, S. Quantum Algebra The connection between the R-matrix realization and Drinfeld's realization of the quantum loop algebra $U_q(D^{(2)}_n)$ is considered using the Gaussian decomposition approach proposed by J. Ding and I. B. Frenkel. Our main result is a description of the embedding $U_q(D^{(2)}_{n-1})\hookrightarrow U_q(D^{(2)}_n)$ that underlies this connection. Explicit relations between all Gaussian coordinates of the L-operators and the currents are presented. |
| title | On the R-matrix realization of the quantum loop algebra. The case of $U_q(D^{(2)}_n)$ |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2409.02021 |