ON SUPPORTS OF INDUCED REPRESENTATIONS FOR SYMPLECTIC AND ODD-ORTHOGONAL GROUPS By CHRIS JANTZEN

@inproceedings{JANTZEN1997ONSO,
  title={ON SUPPORTS OF INDUCED REPRESENTATIONS FOR SYMPLECTIC AND ODD-ORTHOGONAL GROUPS By CHRIS JANTZEN},
  author={CHRIS JANTZEN},
  year={1997}
}
  • CHRIS JANTZEN
  • Published 1997
Let G be Sp(2n, F) (resp. SO(2n + 1, F)), where F is a p-adic field of characteristic zero. In this paper, we give a correspondence which associates to an irreducible representation of G an m-tuple of irreducible representations of lower rank symplectic (resp. orthogonal) groups based on the supercuspidal support of . We show that this correspondence respects the induction and Jacquet module functors (in a sense to be made precise), as well as verifying a number of other useful properties. In… CONTINUE READING
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