Extended T-System of Type G₂

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dc.contributor.authorLi, J.
dc.contributor.authorMukhin, E.
dc.date.accessioned2019-02-21T07:06:53Z
dc.date.available2019-02-21T07:06:53Z
dc.date.issued2013
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationExtended 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B37; 81R50; 82B23
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.054
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149348
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleExtended T-System of Type G₂uk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік