Trigonometric sums, green functions of finite groups and representations of Weyl groups
Trigonometric sums, green functions of finite groups and representations of Weyl groups
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DOI：
10.1007/bf01390009
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发表时间：
1976-12
影响因子：
3.1
通讯作者：
T. A. Springer
中科院分区：
文献类型：
--
作者：
T. A. Springer
令G为有限域k~-IFq上的连通还原代数群，并令g为其李代数。为简单起见，假设g上存在“杀戮形式”B，即在k上定义的G不变非简并对称双线性形式。用 F 表示 Frobenius 态射。设~9是k的加法群的一个非平凡特征，其值在特征0的域中。在本文中，我们研究以下形式的三角和
Let G be a connected reductive algebraic group over the finite field k~-IFq, and let g be its Lie algebra. Assume, for simplicity, that there is a" Killing form" B on g, ie a G-invariant non-degenerate symmetric bilinear form which is defined over k. Denote by F the Frobenius morphism. Let~ 9 be a nontrivial character of the additive group of k, with values in a field of characteristic 0. In this paper we study trigonometric sums of the form