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Tokuyama-type formulas for characters of type B

机译:B型字符的德山型公式

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摘要

We obtain explicit formulas for the product of a deformed Weyl denominator with the character of an irreducible representation of the spin group Spin(2r+1)(C), which is an analogue of the formulas of Tokuyama for Schur polynomials and Hamel-King for characters of symplectic groups. To give these, we start with a symplectic group and obtain such characters using the Casselman-Shalika formula. We then analyze this using objects which are naturally attached to the metaplectic double cover of an odd orthogonal group, which also has dual group Spin(2r+1)(C).
机译:我们获得了一个变形的Weyl分母的乘积的显式公式,该乘积具有自旋基团Spin(2r + 1)(C)的不可约表示的特征,该自旋基团类似于Tokuyama的Schur多项式和Hamel-King的公式。辛族的特征。为此,我们从辛群开始,并使用Casselman-Shalika公式获得此类字符。然后,我们使用自然附加到奇数正交组的双抛物面双盖的对象进行分析,该奇偶正交组也具有双组Spin(2r + 1)(C)。

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