Compatible systems of mod $p$ Galois representations and Hecke characters

Compatible systems of mod $p$ Galois representations and Hecke characters
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mod $p$ Galois 表示和 Hecke 字符的兼容系统

DOI:
10.4310/mrl.2003.v10.n1.a8
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发表时间:
2003
影响因子:
1
通讯作者:
Chandrashekhar B. Khare
Chandrashekhar B. Khare
中科院分区:
数学3区
文献类型:
--
作者:
Chandrashekhar B. Khare

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兼容系统的n维,模p表示绝对伽罗瓦群的数域被认为是塞尔在他的研究开放性的图像adelic伽罗瓦表示所产生的椭圆曲线在[S2]。在[K]中,作者考虑了Q的绝对伽罗瓦群的n维mod p表示的抽象相容系统,并在一维情况下确定了它们。
Compatible systems of n-dimensional, mod p representations of absolute Galois groups of number fields were considered by Serre in his study of openness of images of adelic Galois representations arising from elliptic curves in [S2]. In [K] the author considered abstract compatible systems of n-dimensional, mod p representations of the absolute Galois group of Q and determined them in the one-dimensional case.