与加法多项式相关的局部伽罗瓦表示

IF 0.5 4区数学 Q3 MATHEMATICS

Manuscripta Mathematica Pub Date : 2024-03-30 DOI:10.1007/s00229-024-01550-6

Takahiro Tsushima

引用次数: 0

摘要

对于一个可加多项式和一个正整数，我们定义了一个非拱顶局部域的魏尔群的不可还原光滑表示。我们研究了这个表示的几个不变式。我们得到了它是基元的必要条件和充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Local Galois representations associated to additive polynomials

For an additive polynomial and a positive integer, we define an irreducible smooth representation of a Weil group of a non-archimedean local field. We study several invariants of this representation. We obtain a necessary and sufficient condition for it to be primitive.

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来源期刊

Manuscripta Mathematica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.