On tempered and square integrable representations of classical p-adic groups
نویسندگان
چکیده
منابع مشابه
On Tempered and Square Integrable Representations of Classical p–Adic Groups
This paper has two aims. The first is to give a description of irreducible tempered representations of classical p-adic groups which follows naturally the classification of irreducible square integrable representations modulo cuspidal data obtained in [15] and [19]. The second aim of the paper is to give description of an invariant (partially defined function) of irreducible square integrable r...
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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).
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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.
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Let Sn be either the group Sp(n) or SO(2n+1) over a p-adic field F . Then Levi factors of maximal parabolic subgroups are (isomorphic to) direct products of GL(k) and Sn−k , with 1 ≤ k ≤ n. The square integrable representations which we define and study in this paper (and prove their square integrability), are subquotients of reducible representations Indn P (δ⊗σ), where δ is an essentially squ...
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Preface 1 1. Classical groups 4 2. Parabolic induction 10 3. Admissible representations 16 4. Jacquet modules and cuspidal representations 24 5. Composition series of induced representations of SL(2, F ) and GL(2, F ) 34 6. Some examples 39 7. Parabolically induced representations of SL(2, F ) and GL(2, F ) 45 8. Some general consequences 52 9. GL(n, F ) 55 10. GSp(n, F ) 62 11. On the reducibi...
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2013
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-013-4667-0