Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Extended T-System of Type G₂
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
| dc.contributor.author | Li, J. | |
| dc.contributor.author | Mukhin, E. | |
| dc.date.accessioned | 2019-02-21T07:06:53Z | |
| dc.date.available | 2019-02-21T07:06:53Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Extended T-System of Type G₂ / J. Li, E. Mukhin // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 22 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 17B37; 81R50; 82B23 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2013.054 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149348 | |
| dc.description.abstract | We prove a family of 3-term relations in the Grothendieck ring of the category of finite-dimensional modules over the affine quantum algebra of type G₂ extending the celebrated T-system relations of type G₂. We show that these relations can be used to compute classes of certain irreducible modules, including classes of all minimal affinizations of type G₂. We use this result to obtain explicit formulas for dimensions of all participating modules. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue in honor of Anatol Kirillov and Tetsuji Miwa. The full collection is available at http://www.emis.de/journals/SIGMA/InfiniteAnalysis2013.html. We would like to thank D. Hernandez, B. Leclerc, T. Nakanishi, C.A.S. Young for helpful discussions. JL would like to thank IUPUI Department of Mathematical Sciences for hospitality during his visit when this work was carried out. JL is partially supported by a CSC scholarship, the Natural Science Foundation of Gansu Province (No. 1107RJZA218), and the Fundamental Research Funds for the Central Universities (No. lzujbky-2012-12) from China. The research of EM is supported by the NSF, grant number DMS-0900984. | 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 | Extended T-System of Type G₂ | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
