TY - JOUR
T1 - On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad
AU - Beuzart-Plessis, Raphaël
N1 - Publisher Copyright:
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/10/1
Y1 - 2018/10/1
N2 - We prove an integral formula computing multiplicities of square-integrable representations relative to Galois pairs over p-adic fields and we apply this formula to verify two consequences of a conjecture of Dipendra Prasad. One concerns the exact computation of the multiplicity of the Steinberg representation and the other the invariance of multiplicities by transfer among inner forms.
AB - We prove an integral formula computing multiplicities of square-integrable representations relative to Galois pairs over p-adic fields and we apply this formula to verify two consequences of a conjecture of Dipendra Prasad. One concerns the exact computation of the multiplicity of the Steinberg representation and the other the invariance of multiplicities by transfer among inner forms.
UR - https://www.scopus.com/pages/publications/85048895810
U2 - 10.1007/s00222-018-0807-z
DO - 10.1007/s00222-018-0807-z
M3 - Article
AN - SCOPUS:85048895810
SN - 0020-9910
VL - 214
SP - 437
EP - 521
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
IS - 1
ER -