Subrepresentation Theorem for p-adic Symmetric Spaces
Subrepresentation Theorem for p-adic Symmetric Spaces
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DOI：
10.1093/imrn/rnn028
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发表时间：
2007-06
影响因子：
1
通讯作者：
S. Kato;K. Takano
中科院分区：
文献类型：
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作者：
S. Kato;K. Takano
引入了p-进对称空间上可区别表示的相对尖点概念。利用Jacquet模给出了相对尖点的一个刻画，并将Jacquet的次表示定理推广到相对情形(对称空间情形)。
The notion of relative cuspidality for distinguished representations attached to p-adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet's subrepresentation theorem to the relative case (symmetric space case) is established.