Metaplectic Whittaker functions and crystal bases
McNamara, Peter J.
Duke Math. J., Tome 156 (2011) no. 1, p. 1-31 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study Whittaker functions on nonlinear coverings of simple algebraic groups over a nonarchimedean local field. We produce a recipe for expressing such a Whittaker function as a weighted sum over a crystal graph and show that in type A, these expressions agree with known formulae for the prime-power-supported coefficients of multiple Dirichlet series.
Publié le : 2011-01-15
Classification:  22E50,  11F70 
@article{1292509116,
     author = {McNamara, Peter J.},
     title = {Metaplectic Whittaker functions and crystal bases},
     journal = {Duke Math. J.},
     volume = {156},
     number = {1},
     year = {2011},
     pages = { 1-31},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1292509116}
}

McNamara, Peter J. Metaplectic Whittaker functions and crystal bases. Duke Math. J., Tome 156 (2011) no. 1, pp.  1-31. http://gdmltest.u-ga.fr/item/1292509116/