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Twisted Weyl Group Multiple Dirichlet Series: The Stable Case     Stable Case  Multiple Dirichlet Series       font style='font-size:12px;'> 2015/7/6
Weyl group multiple Dirichlet series were associated with a root system Φ and a numbereld F containing the n-th roots of unity by Brubaker, Bump, Chinta, Friedberg and Hoffstein [3] an...
Weyl Group Multiple Dirichlet Series I     Dirichlet Series  Group       font style='font-size:12px;'> 2015/7/6
Given a root system Φ of rank r and a global eld F containing the n-th roots of unity, it is possible to define a Weyl group multiple Dirichlet series whose coefficients are n-th ...
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It is not apparent that they are equal. Either of these de nitions is purely local in that it speci es the p-part of t...
If F is a local eld containing the group n of n-th roots of unity, and if G is a split semisimple simply connected algebraic group, then Matsumoto [27] de ned an n-fold covering group of G(F), tha...
We establish a link between certain Whittaker coecients of the generalized metaplectic theta functions, rst studied by Kazhdan and Patterson [14], and the coecients of the stable Weyl group multi...
Let K be a global field. For each prime p of K, the p-part of a multiple Dirichlet series defined over K is a generating function in several variables for the p-power coefficients. Let _ be an irreduc...
Crystals and Multiple Dirichlet Series     Crystals  Multiple Dirichlet Series       font style='font-size:12px;'> 2015/7/6
The significance of the comultiplication is that it determines a multiplicative structure on the tensor category of representations.

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