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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn028, 40 pages, doi:10.1093/imrn/rnn028 published on April 11, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Subrepresentation Theorem for p-adic Symmetric Spaces

Shin-ichi Kato1 and Keiji Takano2

1 Department of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606–8502, Japan
2 Department of Arts and Science, Akashi National College of Technology, 679-3 Nishioka, Uozumi-Cho, Akashi-City 674-8501, Japan

Correspondence: Correspondence to be sent to: takano{at}akashi.ac.jp

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.


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