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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 023, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.023 (Mi sigma480) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Epsilon Systems on Geometric Crystals of type $A_n$

Toshiki Nakashima

Department of Mathematics, Sophia University, 102-8554, Chiyoda-ku, Tokyo, Japan
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DOI: https://doi.org/10.3842/SIGMA.2010.023
Abstract: 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.
Keywords: geometric crystal; epsilon system; tropical R map.
Received: September 14, 2009; in final form January 28, 2010; Published online March 19, 2010
Bibliographic databases:
Document Type: Article
MSC: 17B37; 17B67; 22E65; 14M15
Language: English
Citation: Toshiki Nakashima, “Epsilon Systems on Geometric Crystals of type $A_n$”, SIGMA, 6 (2010), 023, 14 pp.
Citation in format AMSBIB
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\paper Epsilon Systems on Geometric Crystals of type $A_n$
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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