Subrepresentation Theorem for p-adic Symmetric Spaces

Details Subrepresentation Theorem for p-adic Symmetric Spaces Subrepresentation Theorem for p-adic Symmetric Spaces

2007-06-05

arxiv.org/abs/0706.0567v2

Mathematics

Representation Theory

34 pages; added references

Scientific paper

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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