Motivic Galois representations valued in Spin groups

被引:0
|
作者
Tang, Shiang [1 ]
机构
[1] 1409 West Green St, Urbana, IL 61801 USA
来源
关键词
Galois representations; spin groups; inverse Galois problem; automorphic representations; MONODROMY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let m be an integer such that m >= 7 and m equivalent to 0, 1, 7 mod 8. We construct strictly compatible systems of representations of Gamma(Q) -> Spin(m) ((Q) over bar (l)) spin ->(spin) GL(N) ((Q) over bar (l)) that are potentially automorphic and motivic. As an application, we prove instances of the inverse Galois problem for the F-p-points of the spin groups. For odd m, we compare our examples with the work of A. Kret and S. W. Shin ([18]), which studies automorphic Galois representations valued in GSpin(m).
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页码:197 / 221
页数:25
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