Strongly positive representations of GSpin(2n+1) and the Jacquet module method With an appendix, 'Strongly positive representations in an exceptional rank-one reducibility case,' by Ivan Matic

摘要

We explicitly construct the structure of Jacquet modules of parabolically induced representations of over a -adic field of any characteristic. Using this construction of the Jacquet module, we obtain a classification of strongly positive representations of over and describe the general discrete series representations of over , assuming the half-integer conjecture. One application of this paper is the proof of the equality of -functions from the Langlands-Shahidi method and Artin -functions through the local Langlands correspondence (Kim in Langlands-Shahidi -functions for groups and the generic Arthur packet conjecture, preprint).