COMPANION FORMS FOR UNITARY AND SYMPLECTIC GROUPS

COMPANION FORMS FOR UNITARY AND SYMPLECTIC GROUPS
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酉群和辛群的伴生形式

DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
D. Geraghty
D. Geraghty
中科院分区：
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文献类型：
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作者：
Toby Gee;D. Geraghty

文献摘要

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利用第二作者提出的自同构提升定理和第一作者提出的推导伴随形式定理的技巧，我们证明了普通n维自同构Galois表示的伴随形式定理。给出了酉群上对应于自同构表示的mod L伽罗瓦表示的可能Serre权的结果。然后，我们利用函数性证明了全实域上GSP4的自同构表示的类似结果。
We prove a companion forms theorem for ordinary n-dimensional automorphic Galois representations, by use of automorphy lifting theorems developed by the second author, and a technique for deducing companion forms theorems due to the first author. We deduce results about the possible Serre weights of mod l Galois representations corresponding to automorphic representations on unitary groups. We then use functoriality to prove similar results for automorphic representations of GSp4 over totally real fields.