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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146309 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Epsilon Systems on Geometric Crystals of Type An / T. Nakashima // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862695499137548288 |
|---|---|
| author | Nakashima, T. |
| author_facet | Nakashima, T. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:24:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146309 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:24:56Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nakashima, T. 2019-02-08T20:17:48Z 2019-02-08T20:17:48Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146309 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. This paper is a contribution to the Proceedings of the Workshop “Geometric Aspects of Discrete and UltraDiscrete Integrable Systems” (March 30 – April 3, 2009, University of Glasgow, UK). The full collection is available at http://www.emis.de/journals/SIGMA/GADUDIS2009.html.
 The author thanks the organizers of the conference “Geometric Aspects of Discrete and UltraDiscrete Integrable Systems” for their kind hospitality. He is supported in part by JSPS Grantsin-Aid for Scientific Research #19540050. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Epsilon Systems on Geometric Crystals of Type An Article published earlier |
| spellingShingle | Epsilon Systems on Geometric Crystals of Type An Nakashima, T. |
| title | 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_short | Epsilon Systems on Geometric Crystals of Type An |
| title_sort | epsilon systems on geometric crystals of type an |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146309 |
| work_keys_str_mv | AT nakashimat epsilonsystemsongeometriccrystalsoftypean |