Geodesic
Epsilon Systems on Geometric Crystals of type $A_n$
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2010_6_a22,
     author = {Toshiki Nakashima},
     title = {Epsilon {Systems} on {Geometric} {Crystals} of type $A_n$},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2010},
     volume = {6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a22/}
}
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Toshiki Nakashima. Epsilon Systems on Geometric Crystals of type $A_n$. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a22/

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