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періодичних видань НАН України
періодичних видань НАН України
T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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| dc.contributor.author | Kuniba, A. | |
| dc.contributor.author | Nakanishi, T. | |
| dc.contributor.author | Suzuki, J. | |
| dc.date.accessioned | 2019-02-19T17:19:48Z | |
| dc.date.available | 2019-02-19T17:19:48Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 17B37; 13A99 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149098 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | It is our great pleasure to thank Professor Tetsuji Miwa on the occasion of his sixtieth birthday for his generous support and continuous interest in our works through many years. We also thank David Hernandez for a valuable comment. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | T-Systems and Y-Systems for Quantum Affinizations of Quantum Kac-Moody Algebras | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
