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Selected Works of Paul Gunnells
Unpublished Paper
Crystal Graphs, Tokuyama's Theorem, And The Gindikin-Karpelevic Formula For G2
Journal of Algebraic Combinatorics (2014)
  • Holley Friedlander
  • Louis Gaudet
  • Paul E. Gunnells, University of Massachusetts - Amherst
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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–Karpelevič formula for G2 , in the spirit of Bump–Nakasuji’s formula for type A .
Keywords
  • Character formulas,
  • Whittaker functions,
  • Gindikin-Karpelevich formula,
  • Crystal graphs,
  • Littelmann patterns
Disciplines
Publication Date
November 12, 2014
Comments
Pre-published version downloaded from archive ArXiv.org. Published version located at http://link.springer.com/article/10.1007%2Fs10801-014-0567-9.
Citation Information
Holley Friedlander, Louis Gaudet and Paul E. Gunnells. "Crystal Graphs, Tokuyama's Theorem, And The Gindikin-Karpelevic Formula For G2" Journal of Algebraic Combinatorics (2014)
Available at: http://works.bepress.com/paul_gunnells/30/