Rigged Configurations and Kashiwara Operators

dc.contributor.authorSakamoto, R.
dc.date.accessioned2019-02-11T16:42:01Z
dc.date.available2019-02-11T16:42:01Z
dc.date.issued2014
dc.description.abstractFor types An⁽¹⁾ and Dn⁽¹⁾ we prove that the rigged configuration bijection intertwines the classical Kashiwara operators on tensor products of the arbitrary Kirillov-Reshetikhin crystals and the set of the rigged configurations.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. The author would like to thank Professor Masato Okado for valuable discussion throughout the project. In particular, the project began when both of us worked together to understand the details of Appendix C of the preprint version of [4]. The author is also grateful to Professor Anne Schilling for valuable discussion on her results. For both of them, the author is very grateful for the fruitful collaboration on closely related projects [24, 25] which provides a motivation and an important application of the present work. I would like to thank anonymous referees for valuable suggestions which greatly help the author to improve the original manuscript. This work is partially supported by Grants-in-Aid for Scientific Research No. 21740114 from JSPS.uk_UA
dc.identifier.citationRigged Configurations and Kashiwara Operators / R. Sakamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B37; 05E10; 82B23
dc.identifier.otherDOI:10.3842/SIGMA.2014.028
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146830
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleRigged Configurations and Kashiwara Operatorsuk_UA
dc.typeArticleuk_UA

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