Weil Representations as Globally Irreducible Representations
Weil Representations as Globally Irreducible Representations
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作为全局不可约表示的 Weil 表示
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
P. Tiep
中科院分区：
文献类型：
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作者：
P. Tiep
有限群的整体不可约表示的概念是由B.H. Gross，为了解释N. Elkies和T. Shioda使用椭圆曲线的Mordell-Weil格。它已被R. Gow和Gross证明了某些有限经典群的不可约Weil表示导致全局不可约表示。本文对有限经典群的Weil表示的所有整体不可约表示进行了分类。
The notion of globally irreducible representations of finite groups was introduced by B.H. Gross, in order to explain new series of Euclidean lattices discovered recently by N. Elkies and T. Shioda using Mordell–Weil lattices of elliptic curves. It has been observed by R. Gow and Gross that irreducible Weil representations of certain finite classical groups lead to globally irreducible representations. In this paper we classify all globally irreducible representations coming from Weil representations of finite classical groups.