Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case)
Abstract
We prove a local Gan-Gross-Prasad conjecture on predicting the branching law for the non-tempered representations of general linear groups in the case of non-Archimedean field. We also generalize to Bessel and Fourier-Jacobi models and study a possible generalization to Ext-branching laws.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2020
- DOI:
- 10.48550/arXiv.2006.02623
- arXiv:
- arXiv:2006.02623
- Bibcode:
- 2020arXiv200602623Y
- Keywords:
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- Mathematics - Representation Theory;
- Mathematics - Number Theory
- E-Print:
- 42 pages, v2: added Remark 5.2, Sections 5.5, 5.6 improved Theorem 7.4 in submitted version, other minor changes, v3: 45pages, accepted version, to appear in Crelle's Journal