TY - JOUR
T1 - Plancherel measures for coverings of p-adic SL2(F)
AU - Goldberg, David
AU - Szpruch Alpert, Daniel
N1 - Publisher Copyright:
© 2016 World Scientific Publishing Company.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 2016/11/1
Y1 - 2016/11/1
N2 - In these notes, we compute the Plancherel measures associated with genuine principal series representations of n-fold covers of p-adic SL2. Along the way, we also compute a higher dimensional metaplectic analog of Shahidi local coefficients. Our method involves new functional equations utilizing the Tate γ-factor and a metaplectic counterpart. As an application, we prove an irreducibility theorem.
AB - In these notes, we compute the Plancherel measures associated with genuine principal series representations of n-fold covers of p-adic SL2. Along the way, we also compute a higher dimensional metaplectic analog of Shahidi local coefficients. Our method involves new functional equations utilizing the Tate γ-factor and a metaplectic counterpart. As an application, we prove an irreducibility theorem.
KW - Metaplectic groups
KW - metaplectic local coefficients
KW - Plancherel measure
UR - http://www.scopus.com/inward/record.url?scp=84959208637&partnerID=8YFLogxK
U2 - 10.1142/S1793042116501189
DO - 10.1142/S1793042116501189
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AN - SCOPUS:84959208637
SN - 1793-0421
VL - 12
SP - 1907
EP - 1936
JO - International Journal of Number Theory
JF - International Journal of Number Theory
IS - 7
ER -