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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.
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Інститут математики НАН України
2014
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146830 |
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irk-123456789-1468302019-02-12T01:25:00Z Rigged Configurations and Kashiwara Operators Sakamoto, R. 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. 2014 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146830 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
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. |
format |
Article |
author |
Sakamoto, R. |
spellingShingle |
Sakamoto, R. Rigged Configurations and Kashiwara Operators Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Sakamoto, R. |
author_sort |
Sakamoto, R. |
title |
Rigged Configurations and Kashiwara Operators |
title_short |
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_sort |
rigged configurations and kashiwara operators |
publisher |
Інститут математики НАН України |
publishDate |
2014 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/146830 |
citation_txt |
Rigged Configurations and Kashiwara Operators / R. Sakamoto // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 37 назв. — англ. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT sakamotor riggedconfigurationsandkashiwaraoperators |
first_indexed |
2023-05-20T17:25:45Z |
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2023-05-20T17:25:45Z |
_version_ |
1796153271137599488 |