We revisit the paper [Automorphy lifting for residually reducible $l$-adic Galois representations, J. Amer. Math. Soc. 28 (2015), 785–870] by the third author. We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary number of irreducible constituents.

中文翻译：

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残差可约-adic Galois表示的自同构提升，II

我们重温了论文 [Automorphylifting for Residual Reducible $l$-adic Galois representations, J. Amer. 数学。社会。28 (2015), 785–870] 第三作者。我们证明了幺正类型的残差可约伽罗瓦表示的新自同构提升定理，其中残差表示允许具有任意数量的不可约成分。