Highest ℓ-Weight Representations and Functional Relations
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 arbitra...
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| Дата: | 2017 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148644 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1486442019-02-19T01:31:51Z Highest ℓ-Weight Representations and Functional Relations Nirov, K.S. Razumov, A.V. 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. 2017 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Nirov, K.S. Razumov, A.V. |
| spellingShingle |
Nirov, K.S. Razumov, A.V. Highest ℓ-Weight Representations and Functional Relations Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Nirov, K.S. Razumov, A.V. |
| author_sort |
Nirov, K.S. |
| title |
Highest ℓ-Weight Representations and Functional Relations |
| title_short |
Highest ℓ-Weight Representations and Functional Relations |
| title_full |
Highest ℓ-Weight Representations and Functional Relations |
| title_fullStr |
Highest ℓ-Weight Representations and Functional Relations |
| title_full_unstemmed |
Highest ℓ-Weight Representations and Functional Relations |
| title_sort |
highest ℓ-weight representations and functional relations |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148644 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT nirovks highestlweightrepresentationsandfunctionalrelations AT razumovav highestlweightrepresentationsandfunctionalrelations |
| first_indexed |
2023-05-20T17:30:56Z |
| last_indexed |
2023-05-20T17:30:56Z |
| _version_ |
1796153461746696192 |