Subrepresentation Theorem for p-adic Symmetric Spaces
By S. Kato, Keiji Takano. 2007
55 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/904d9ccd326b28c8668502ccd5dcaef507e40120
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In Applied Mathematics
In Mathematical Physics
- Nicolas Bergeron
- Akshay Venkatesh
- Mehmet Haluk Sengun
- Nadir Matringe
- P. Michel
- R. Munshi
- V. Blomer
- Nicolas Templier
Citations in the corpus
- Torsion homology growth and cycle complexity of arithmetic manifolds (2014, background): “However, the asymptotics of ∑ a j f j can be computed by the theory of asymptotics on spherical varieties or even symmetric varieties (see [36, 35] or [49]); this theory of asymptotics shows that if ∑ a j f j vanish identically on a sufficiently large compact set, it must in fact identically vanish ”
- On the local Bump-Friedberg L-function (2013, background): “10 of [21], we need to check this equality only on the (connected) center Zs s of M <θs> s .”