Square integrability of representations on p-adic symmetric spaces
نویسندگان
چکیده
منابع مشابه
SQUARE INTEGRABILITY OF REPRESENTATIONS ON p-ADIC SYMMETRIC SPACES
A symmetric space analogue of Casselman’s criterion for square integrability of representations of a p-adic group is established. It is described in terms of exponents of Jacquet modules along parabolic subgroups associated to the symmetric space.
متن کاملOn Square-Integrable Representations of Classical p-adic Groups
In this paper, we use Jacquet module methods to study the problem of classifying discrete series for the classical p-adic groups Sp(2n, F) and SO(2n + 1, F).
متن کاملON SQUARE-INTEGRABLE REPRESENTATIONS OF CLASSICAL p-ADIC GROUPS II
In this paper, we continue our study of non-supercuspidal discrete series for the classical groups Sp(2n, F ), SO(2n+ 1, F ), where F is p-adic.
متن کاملPolar Decomposition for P-adic Symmetric Spaces
Let G be the group of k-points of a connected reductive k-group and H a symmetric subgroup associated to an involution σ of G. We prove a polar decomposition G = KAH for the symmetric space G/H over any local field k of characteristic not 2. Here K is a compact subset of G and A is a finite union of groups Ai which are the k-points of maximal (k, σ)-split tori, one for each H-conjugacy class. T...
متن کاملSUBREPRESENTATION THEOREM FOR p-ADIC SYMMETRIC SPACES
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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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2010
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2009.10.026