论文标题

Weil特征均匀投影的分解

Decomposition of the Uniform Projection of the Weil Character

论文作者

Pan, Shu-Yen

论文摘要

在本文中,我们获得了一个有限还原双对的Weil特征的均匀投影的分解公式,该二对由符号组和均匀的基团组成。这是对单一角色的Howe对应的明确描述的第一个和主要步骤,确认了Aubert-Michel-Rouquier的猜想。

In this paper we obtain a decomposition formula of the uniform projection of the Weil character of a finite reductive dual pair consisting of a symplectic group and an even orthogonal group. This is the first and major step to give an explicit description of the Howe correspondence on unipotent characters confirming a conjecture by Aubert-Michel-Rouquier.

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