Highest ℓ-Weight Representations and Functional Relations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Highest ℓ-Weight Representations and Functional Relations
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| Creator |
Nirov, K.S.
Razumov, A.V. |
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| Description |
We discuss highest ℓ-weight representations of quantum loop algebras and the corresponding functional relations between integrability objects. In particular, we compare the prefundamental and q-oscillator representations of the positive Borel subalgebras of the quantum group Uq(L(sll₊₁)) for arbitrary values of l. Our article has partially the nature of a short review, but it also contains new results. These are the expressions for the L-operators, and the exact relationship between different representations, as a byproduct resulting in certain conclusions about functional relations.
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| Date |
2019-02-18T16:52:47Z
2019-02-18T16:52:47Z 2017 |
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| Type |
Article
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| Identifier |
Highest ℓ-Weight Representations and Functional Relations / K.S. Nirov, A.V. Razumov // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 40 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 17B37; 16T25; 17B10 DOI:10.3842/SIGMA.2017.043 http://dspace.nbuv.gov.ua/handle/123456789/148644 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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