Crystal graphs, Tokuyama's theorem, and the Gindikin--Karpelevic formula for G2
Abstract
We conjecture a deformation of the Weyl character formula for type G2 in the spirit of Tokuyama's formula for type A. Using our conjecture we prove a combinatorial version of the Gindikin--Karpelevic formula for G2, in the spirit of Bump--Nakasuji's formula for type A.
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