Representations of Quantum Affine Algebras in their -Matrix Realization
We use the isomorphisms between the -matrix and Drinfeld presentations of the quantum affine algebras in types , and produced in our previous work to describe finite-dimensional irreducible representations in the -matrix realization. We also review the isomorphisms for the Yangians of these types...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211074 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Representations of Quantum Affine Algebras in their -Matrix Realization. Naihuan Jing, Ming Liu and Alexander Molev. SIGMA 16 (2020), 145, 25 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We use the isomorphisms between the -matrix and Drinfeld presentations of the quantum affine algebras in types , and produced in our previous work to describe finite-dimensional irreducible representations in the -matrix realization. We also review the isomorphisms for the Yangians of these types and use Gauss decomposition to establish an equivalence of the descriptions of the representations in the -matrix and Drinfeld presentations of the Yangians.
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| ISSN: | 1815-0659 |