Crystal graphs, Tokuyama's theorem, and the Gindikin--Karpelevic formula   for G_2
  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. 
Holley Friedlander, Louis Gaudet, Paul E. Gunnells
math.CO math.NT math.RT