TY - JOUR
T1 - Periods of residual representations of SO(2l)
AU - Ginzburg, David
AU - Jiang, Dihua
AU - Rallis, Stephen
PY - 2004/3
Y1 - 2004/3
N2 - In this paper, we extend the results on G2-period of residual representations of SO8g in [Jng98a], [Jng98b] to a generalized G 2-period of residual representations of SO2l (l ≥ 4). The period is expected to detect the nonvanishing of the relevant tensor product L-function at the center of the symmetry, which is a special case of the Gross-Prasad conjecture. More general cases will be considered in our forth-coming work [GJRa], [GJRb].
AB - In this paper, we extend the results on G2-period of residual representations of SO8g in [Jng98a], [Jng98b] to a generalized G 2-period of residual representations of SO2l (l ≥ 4). The period is expected to detect the nonvanishing of the relevant tensor product L-function at the center of the symmetry, which is a special case of the Gross-Prasad conjecture. More general cases will be considered in our forth-coming work [GJRa], [GJRb].
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U2 - 10.1007/s00229-003-0417-x
DO - 10.1007/s00229-003-0417-x
M3 - Article
AN - SCOPUS:1842434380
SN - 0025-2611
VL - 113
SP - 319
EP - 358
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 3
ER -