Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra
Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra
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画廊、Hall-Littlewood 多项式和球赫克代数的结构常数
DOI：
10.1155/imrn/2006/75395
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发表时间：
2005
影响因子：
1
通讯作者：
Christoph Schwer
中科院分区：
文献类型：
--
作者：
Christoph Schwer
我们提供了一个组合描述的系数出现在霍尔-Littlewood多项式的单项式对称函数的扩展。我们还给出了Hall-Littlewood多项式的Littlewood-Richardson定则。为了证明这一点，我们使用图库来计算具有任意参数的球形Hecke代数的Satake系数和结构常数。
We provide a combinatorial description of the coefficients appearing in the expansion of Hall-Littlewood polynomials in terms of monomial symmetric functions. We also give a Littlewood-Richardson rule for Hall-Littlewood polynomials. For proving this we use galleries to calculate Satake coefficients and structure constants of spherical Hecke algebras with arbitrary parameters.