Green Functions Associated to Complex Reflection Groups
Green Functions Associated to Complex Reflection Groups
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DOI：
10.1006/jabr.2001.8898
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发表时间：
2001-11
影响因子：
0.9
通讯作者：
T. Shoji
中科院分区：
文献类型：
--
作者：
T. Shoji
经典群的抽象绿色函数是由Weyl群的数据和某些称为符号的组合对象确定的。推广这一点，我们定义了绿色函数与复反射群G（e，1，n）和研究其组合性质。我们构造Hall-Littlewood函数和Schur函数在我们的计划，并表明，这样的绿色功能获得这两个对称函数之间的过渡矩阵，在GLn的情况下。
Abstract Green functions of classical groups are determined by the data from Weyl groups and by certain combinatorial objects called symbols. Generalizing this, we define Green functions associated to complex reflection groups G(e, 1, n) and study their combinatorial properties. We construct Hall–Littlewood functions and Schur functions in our scheme and show that such Green functions are obtained as a transition matrix between those two symmetric functions, as in the case of GLn.