论文标题

GU的水平降低(1,2)

Level lowering for GU(1,2)

论文作者

Fu, Hao

论文摘要

Mazur的原则给出了一个标准,根据该标准,由模块化形式的$ NP $($ p $ prime to $ n $)产生的不可约的mod $ \ ell $ galois表示,也可能来自$ n级的模块化形式。 $ g = \ mathrm {gu}(1,2)$,是惰性$ p $的Steinberg,也可能来自$ g $的汽车表示,该代表在$ p $中不受限制。

Mazur's principle gives a criterion under which an irreducible mod $\ell$ Galois representation arising from a modular form of level $Np$ (with $p$ prime to $N$) can also arise from a modular form of level $N.$ We prove an analogous result showing that a mod $\ell$ Galois representation arising from a stable cuspidal automorphic representation of the unitary similitude group $G=\mathrm{GU}(1,2)$ which is Steinberg at an inert prime $p$ can also arise from an automorphic representation of $G$ that is unramified at $p$.

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