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Epsilon Systems on Geometric Crystals of Type An
We introduce an epsilon system on a geometric crystal of type An, which is a certain set of rational functions with some nice properties. We shall show that it is equipped with a product structure and that it is invariant under the action of tropical R maps.
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Інститут математики НАН України
2010
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146309 |
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irk-123456789-1463092019-02-09T01:23:15Z Epsilon Systems on Geometric Crystals of Type An Nakashima, T. We introduce an epsilon system on a geometric crystal of type An, which is a certain set of rational functions with some nice properties. We shall show that it is equipped with a product structure and that it is invariant under the action of tropical R maps. 2010 Article Epsilon Systems on Geometric Crystals of Type An / T. Nakashima // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 12 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B37; 17B67; 22E65; 14M15 doi:10.3842/SIGMA.2010.023 http://dspace.nbuv.gov.ua/handle/123456789/146309 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 |
We introduce an epsilon system on a geometric crystal of type An, which is a certain set of rational functions with some nice properties. We shall show that it is equipped with a product structure and that it is invariant under the action of tropical R maps. |
format |
Article |
author |
Nakashima, T. |
spellingShingle |
Nakashima, T. Epsilon Systems on Geometric Crystals of Type An Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Nakashima, T. |
author_sort |
Nakashima, T. |
title |
Epsilon Systems on Geometric Crystals of Type An |
title_short |
Epsilon Systems on Geometric Crystals of Type An |
title_full |
Epsilon Systems on Geometric Crystals of Type An |
title_fullStr |
Epsilon Systems on Geometric Crystals of Type An |
title_full_unstemmed |
Epsilon Systems on Geometric Crystals of Type An |
title_sort |
epsilon systems on geometric crystals of type an |
publisher |
Інститут математики НАН України |
publishDate |
2010 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/146309 |
citation_txt |
Epsilon Systems on Geometric Crystals of Type An / T. Nakashima // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 12 назв. — англ. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT nakashimat epsilonsystemsongeometriccrystalsoftypean |
first_indexed |
2023-05-20T17:24:04Z |
last_indexed |
2023-05-20T17:24:04Z |
_version_ |
1796153213565534208 |