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періодичних видань НАН України
Epsilon Systems on Geometric Crystals of Type An
Репозиторій DSpace/Manakin
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Epsilon Systems on Geometric Crystals of Type An
Інший ID:
2010 Mathematics Subject Classification: 17B37; 17B67; 22E65; 14M15
doi:10.3842/SIGMA.2010.023
doi:10.3842/SIGMA.2010.023
Посилання:
Epsilon Systems on Geometric Crystals of Type An / T. Nakashima // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 12 назв. — англ.
Підтримка:
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.
Дата:
2010
Переглядів:
451
Завантажень:
248
Анотація:
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.
