Epsilon Systems on Geometric Crystals of Type $A_n$

Details Epsilon Systems on Geometric Crystals of Type $A_n$ Epsilon Systems on Geometric Crystals of Type $A_n$

2009-11-18

arxiv.org/abs/0911.3562v2

SIGMA 6 (2010), 023, 14 pages

Mathematics

Quantum Algebra

Scientific paper

10.3842/SIGMA.2010.023

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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