T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras
The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum Kac-Moody algebras by Hernandez. In this note we introduce the corresponding Y-s...
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| Дата: | 2009 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149098 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras / A. Kuniba, T. Nakanishi, J. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 58 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1490982019-02-20T01:25:58Z T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras Kuniba, A. Nakanishi, T. Suzuki, J. The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum Kac-Moody algebras by Hernandez. In this note we introduce the corresponding Y-systems and establish a relation between T and Y-systems. We also introduce the T and Y-systems associated with a class of cluster algebras, which include the former T and Y-systems of simply laced type as special cases. 2009 Article T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras / A. Kuniba, T. Nakanishi, J. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 58 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 17B37; 13A99 http://dspace.nbuv.gov.ua/handle/123456789/149098 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 |
The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently the T-systems were generalized to quantum affinizations of a wide class of quantum Kac-Moody algebras by Hernandez. In this note we introduce the corresponding Y-systems and establish a relation between T and Y-systems. We also introduce the T and Y-systems associated with a class of cluster algebras, which include the former T and Y-systems of simply laced type as special cases. |
| format |
Article |
| author |
Kuniba, A. Nakanishi, T. Suzuki, J. |
| spellingShingle |
Kuniba, A. Nakanishi, T. Suzuki, J. T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kuniba, A. Nakanishi, T. Suzuki, J. |
| author_sort |
Kuniba, A. |
| title |
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras |
| title_short |
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras |
| title_full |
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras |
| title_fullStr |
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras |
| title_full_unstemmed |
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras |
| title_sort |
t-systems and y-systems for quantum affinizations of quantum kac-moody algebras |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149098 |
| citation_txt |
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras / A. Kuniba, T. Nakanishi, J. Suzuki // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 58 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kunibaa tsystemsandysystemsforquantumaffinizationsofquantumkacmoodyalgebras AT nakanishit tsystemsandysystemsforquantumaffinizationsofquantumkacmoodyalgebras AT suzukij tsystemsandysystemsforquantumaffinizationsofquantumkacmoodyalgebras |
| first_indexed |
2023-05-20T17:32:08Z |
| last_indexed |
2023-05-20T17:32:08Z |
| _version_ |
1796153519899672576 |