On invariants of discrete series representations of classical p-adic groups
نویسندگان
چکیده
منابع مشابه
On Invariants of Discrete Series Representations of Classical P -adic Groups
To an irreducible square integrable representation π of a classical p-adic group, C. Mœglin has attached invariants Jord(π), πcusp and ǫπ . These triples classify square integrable representations modulo cuspidal data (assuming a natural hypothesis). The definition of these invariants in [M] is rather simple in terms of induced representations, except at one case when a coherent normalization o...
متن کاملDiscrete Series Representations of Unipotent p-adic Groups
For a certain class of locally profinite groups, we show that an irreducible smooth discrete series representation is necessarily supercuspidal and, more strongly, can be obtained by induction from a linear character of a suitable open and compact modulo center subgroup. If F is a non-Archimedean local field, then our class of groups includes the groups of F -points of unipotent algebraic group...
متن کاملREPRESENTATIONS OF CLASSICAL p-ADIC GROUPS
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...
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 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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Manuscripta Mathematica
سال: 2010
ISSN: 0025-2611,1432-1785
DOI: 10.1007/s00229-010-0423-8