Mirkovi\'c-Vilonen Polytopes and a quiver construction of crystal basis in type $A$
Representation Theory
2011-01-31 v6 Quantum Algebra
Abstract
In the current paper, we give a quiver theoretical interpretation of Mirkovi\'c-Vilonen polytopes in type . As a by-product, we give a new proof of the Anderson-Mirkovi\'c conjecture which describes the explicit forms of the actions of lowering Kashiwara operators on the set of Mirkovi\'c-Vilonen polytopes.
Keywords
Cite
@article{arxiv.1010.0086,
title = {Mirkovi\'c-Vilonen Polytopes and a quiver construction of crystal basis in type $A$},
author = {Yoshihisa Saito},
journal= {arXiv preprint arXiv:1010.0086},
year = {2011}
}
Comments
29 pages