A METAPLECTIC CASSELMAN-SHALIKA FORMULA FOR GLr
نویسنده
چکیده
We provide formulas for various bases of spherical Whittaker functions on the n-fold metaplectic cover of GLr over a p-adic field and show that there is a basis of symmetric functions in the complex parameter. In addition we relate a specific spherical Whittaker function to the p-power part of the Weyl group multiple Dirichlet series for the root system of type Ar−1 constructed from nth order Gauss sums. We also show that the zonal spherical functions can be computed explicitly in terms of Hall-Littlewood polynomials as in Macdonald’s formula for GLr.
منابع مشابه
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