偶数特征的有限正交群的轮换指数
Cycle indices for finite orthogonal groups of even characteristic
摘要：
给出了偶特征正交群的轮换指数母函数，并给出了一些计数应用。其中关键的一步是确定有限辛群的复线性Weil特征标的值，以及它们在幂幺元处到一般线性群的归纳。我们还定义和研究了整数划分上的几个自然概率测度。
英文摘要：
We develop cycle index generating functions for orthogonal groups in even characteristic, and give some enumerative applications. A key step is the determination of the values of the complex linear-Weil characters of the finite symplectic group, and their inductions to the general linear group, at unipotent elements. We also define and study several natural probability measures on integer partitions.
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