Metaplectic Whittaker Functions and Crystals of Type B
Metaplectic Whittaker Functions and Crystals of Type B
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Metaplectic Whittaker 函数和 B 型晶体
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Paul E. Gunnells
中科院分区：
文献类型：
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作者：
Ben Brubaker;D. Bump;G. Chinta;Paul E. Gunnells
本文从几个不同的角度研究了Sp（2 r，F）的双覆盖上的球亚辛Whittaker函数，其中F是非阿基米德局部场.在此之前，Bump、Friedberg和Hoffstein给出了一个类似于Casselman-Shalika公式的表达式，作为Weyl群上的和。结果表明，这与Chinta和Gunnells的平均法所定义的B r型Weyl群重Dirichlet级数的p-部分的表达式是一致的.本文给出了B型晶体上的两个和的解析表达式和一个自由费米子六顶点模型系统的配分函数的解析表达式。
The spherical metaplectic Whittaker function on the double cover of Sp (2r, F), where F is a nonarchimedean local field, is considered from several different points of view. Previously, an expression, similar to the Casselman–Shalika formula, had been given by Bump, Friedberg, and Hoffstein as a sum is over the Weyl group. It is shown that this coincides with the expression for the p-parts of Weyl group multiple Dirichlet series of type B r as defined by the averaging method of Chinta and Gunnells. Two conjectural expressions as sums over crystals of type B are given and another as the partition function of a free-fermionic six-vertex model system.