Ultradiscrete Soliton Systems and Combinatorial Representation Theory
Quantum Algebra
2015-03-03 v1 Mathematical Physics
math.MP
Abstract
This lecture note is intended to be a brief introduction to a recent development on the interplay between the ultradiscrete (or tropical) soliton systems and the combinatorial representation theory. We will concentrate on the simplest cases which admit elementary explanations without losing essential ideas of the theory. In particular we give definitions for the main constructions corresponding to the vector representation of type .
Keywords
Cite
@article{arxiv.1212.2774,
title = {Ultradiscrete Soliton Systems and Combinatorial Representation Theory},
author = {Reiho Sakamoto},
journal= {arXiv preprint arXiv:1212.2774},
year = {2015}
}
Comments
18 pages, for proceedings of the conference "Algebraic combinatorics related to Young diagrams and statistical physics" (Kyoto, August 2012)