The local converse theorem for SO ( 2 n + 1 ) and applications

@inproceedings{Jiang2003TheLC,
  title={The local converse theorem for SO ( 2 n + 1 ) and applications},
  author={Dihua Jiang and David Soudry},
  year={2003}
}
In this paper we characterize irreducible generic representations of SO2n+1(k) (where k is a p-adic field) by means of twisted local gamma factors (the Local Converse Theorem). As applications, we prove that two irreducible generic cuspidal automorphic representations of SO2n+1(A) (where A is the ring of adeles of a number field) are equivalent if their local components are equivalent at almost all local places (the Rigidity Theorem); and prove the Local Langlands Reciprocity Conjecture for… CONTINUE READING
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References

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Showing 1-10 of 33 references

Generic representations and the local Langlands reciprocity law for p-adic SO(2n + 1)

  • D. Jiang, D. Soudry
  • PREPRINT
  • 2001
2 Excerpts

A letter to David Soudry

  • G. Henniart
  • dated July 31
  • 2000
1 Excerpt

Piatetski-Shapiro, Converse theorems for GLn

  • I.I.J.W. Cogdell
  • II, J. Reine Angew. Math
  • 1999

Representations and invariants of the classical groups

  • R. Goodman, N. Wallach
  • Encycl. Math. and its Applications 68, Cambridge…
  • 1998

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