|
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
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
Citation:
Toshiki Nakashima, “Epsilon Systems on Geometric Crystals of type $A_n$”, SIGMA, 6 (2010), 023, 14 pp.
Linking options:
https://www.mathnet.ru/eng/sigma480 https://www.mathnet.ru/eng/sigma/v6/p23
|
Statistics & downloads: |
Abstract page: | 216 | Full-text PDF : | 45 | References: | 39 |
|