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Rigged Configurations and Kashiwara Operators
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Rigged Configurations and Kashiwara Operators
Інший ID:
2010 Mathematics Subject Classification: 17B37; 05E10; 82B23
DOI:10.3842/SIGMA.2014.028
DOI:10.3842/SIGMA.2014.028
Посилання:
Rigged Configurations and Kashiwara Operators / R. Sakamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ.
Підтримка:
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.
Дата:
2014
Переглядів:
497
Завантажень:
307
Анотація:
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.
