Rigged Configurations and Kashiwara Operators

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
→
Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Sakamoto, R.
dc.date.accessioned	2019-02-11T16:42:01Z
dc.date.available	2019-02-11T16:42:01Z
dc.date.issued	2014
dc.identifier.citation	Rigged Configurations and Kashiwara Operators / R. Sakamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B37; 05E10; 82B23
dc.identifier.other	DOI:10.3842/SIGMA.2014.028
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146830
dc.description.abstract	For 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.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. 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.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	Rigged Configurations and Kashiwara Operators	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA