TY - JOUR
T1 - Local Shalika models and functoriality
AU - Jiang, Dihua
AU - Nien, Chufeng
AU - Qin, Yujun
PY - 2008/10/1
Y1 - 2008/10/1
N2 - We prove, over a p-adic local field F, that an irreducible supercuspidal representation of GL2n(F) is a local Langlands functorial transfer from SO2n+1(F) if and only if it has a nonzero Shalika model (Corollary 5.2, Proposition 5.4 and Theorem 5.5). Based on this, we verify (Sect. 6) in our cases a conjecture of Jacquet and Martin, a conjecture of Kim, and a conjecture of Speh in the theory of automorphic forms.
AB - We prove, over a p-adic local field F, that an irreducible supercuspidal representation of GL2n(F) is a local Langlands functorial transfer from SO2n+1(F) if and only if it has a nonzero Shalika model (Corollary 5.2, Proposition 5.4 and Theorem 5.5). Based on this, we verify (Sect. 6) in our cases a conjecture of Jacquet and Martin, a conjecture of Kim, and a conjecture of Speh in the theory of automorphic forms.
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U2 - 10.1007/s00229-008-0200-0
DO - 10.1007/s00229-008-0200-0
M3 - Article
AN - SCOPUS:52549123290
SN - 0025-2611
VL - 127
SP - 187
EP - 217
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 2
ER -