Epsilon Systems on Geometric Crystals of type A_n
We introduce an epsilon system on a geometric crystal of type A_n, 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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2010-03-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2010.023 |
| _version_ | 1818156111301181440 |
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| author | Toshiki Nakashima |
| author_facet | Toshiki Nakashima |
| author_sort | Toshiki Nakashima |
| collection | DOAJ |
| description | We introduce an epsilon system on a geometric crystal of type A_n, 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 | 2024-12-11T14:53:06Z |
| format | Article |
| id | doaj.art-05f8cfd3839f4153b22d8c45291b3601 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-11T14:53:06Z |
| publishDate | 2010-03-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-05f8cfd3839f4153b22d8c45291b36012022-12-22T01:01:23ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-03-016023Epsilon Systems on Geometric Crystals of type A_nToshiki NakashimaWe introduce an epsilon system on a geometric crystal of type A_n, 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.http://dx.doi.org/10.3842/SIGMA.2010.023geometric crystalepsilon systemtropical R map |
| spellingShingle | Toshiki Nakashima Epsilon Systems on Geometric Crystals of type A_n Symmetry, Integrability and Geometry: Methods and Applications geometric crystal epsilon system tropical R map |
| title | Epsilon Systems on Geometric Crystals of type A_n |
| title_full | Epsilon Systems on Geometric Crystals of type A_n |
| title_fullStr | Epsilon Systems on Geometric Crystals of type A_n |
| title_full_unstemmed | Epsilon Systems on Geometric Crystals of type A_n |
| title_short | Epsilon Systems on Geometric Crystals of type A_n |
| title_sort | epsilon systems on geometric crystals of type a n |
| topic | geometric crystal epsilon system tropical R map |
| url | http://dx.doi.org/10.3842/SIGMA.2010.023 |
| work_keys_str_mv | AT toshikinakashima epsilonsystemsongeometriccrystalsoftypean |