Crystal graphs, Tokuyama's theorem, and the Gindikin--Karpelevic formula for G_2
Combinatorics
2014-02-04 v1 Number Theory
Representation Theory
Abstract
We conjecture a deformation of the Weyl character formula for type G_2 in the spirit of Tokuyama's formula for type A. Using our conjecture we prove a combinatorial version of the Gindikin--Karpelevic formula for G_2, in the spirit of Bump--Nakasuji's formula for type A.
Keywords
Cite
@article{arxiv.1402.0411,
title = {Crystal graphs, Tokuyama's theorem, and the Gindikin--Karpelevic formula for G_2},
author = {Holley Friedlander and Louis Gaudet and Paul E. Gunnells},
journal= {arXiv preprint arXiv:1402.0411},
year = {2014}
}