Existence of Whittaker models related to four dimensional symplectic Galois representations

Existence of Whittaker models related to four dimensional symplectic Galois representations
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与四维辛伽罗瓦表示相关的 Whittaker 模型的存在性

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发表时间:
2007
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通讯作者:
R. Weissauer
R. Weissauer
中科院分区:
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文献类型:
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作者:
R. Weissauer

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证明了群GSP(4,A)的一个不可约尖点自同构表示弱等价于一个不可约广义尖点自同构表示,它的无限个分支属于同一个阿基米德局部L包,且它不是CAP的,且其无限分支属于离散级数.
We show that an irreducible cuspidal automorphic representation of the group GSp(4,A), which is not CAP and whose infinite component belongs to the discrete series, is weakly equivalent to an irreducible generic automorphic cuspidal representation, whose infinite component belongs to the same archimedean local L-packet.