全球现代化Galois演示的三角线升降机

IF 0.7 3区数学 Q2 MATHEMATICS

Pacific Journal of Mathematics Pub Date : 2022-02-01 DOI:10.2140/pjm.2022.320.223

N. Fakhruddin, Chandrashekhar B. Khare, Stefan Patrikis

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引用次数: 0

摘要

我们证明了在一个合适的奇性条件下，任意数域的绝对Galois群的不可约mod$p$表示具有特征零提升，这些特征零提升在有限素数集之外是不分枝的，并且在$F$除以$p$的所有素数上是三角形的。我们还证明了这个结果对于连通还原群中有值的表示的变体。

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Trianguline lifts of global mod p Galois representations

We show that under a suitable oddness condition, irreducible mod $p$ representations of the absolute Galois group of an arbitrary number field have characteristic zero lifts which are unramified outside a finite set of primes and trianguline at all primes of $F$ dividing $p$. We also prove variants of this result for representations valued in connected reductive groups.

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来源期刊

Pacific Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.