Rigged Configurations and Kashiwara Operators
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.
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2014 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2014
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146830 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Rigged Configurations and Kashiwara Operators / R. Sakamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862684502015344640 |
|---|---|
| author | Sakamoto, R. |
| author_facet | Sakamoto, R. |
| citation_txt | Rigged Configurations and Kashiwara Operators / R. Sakamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2025-12-07T15:58:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146830 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:58:23Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sakamoto, R. 2019-02-11T16:42:01Z 2019-02-11T16:42:01Z 2014 Rigged Configurations and Kashiwara Operators / R. Sakamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 05E10; 82B23 DOI:10.3842/SIGMA.2014.028 https://nasplib.isofts.kiev.ua/handle/123456789/146830 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. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Rigged Configurations and Kashiwara Operators Article published earlier |
| spellingShingle | Rigged Configurations and Kashiwara Operators Sakamoto, R. |
| title | Rigged Configurations and Kashiwara Operators |
| title_full | Rigged Configurations and Kashiwara Operators |
| title_fullStr | Rigged Configurations and Kashiwara Operators |
| title_full_unstemmed | Rigged Configurations and Kashiwara Operators |
| title_short | Rigged Configurations and Kashiwara Operators |
| title_sort | rigged configurations and kashiwara operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146830 |
| work_keys_str_mv | AT sakamotor riggedconfigurationsandkashiwaraoperators |