The local coefficients of a principal series representation of a metaplectic group are defined in terms of the action of the standard intertwining operator on a canonical basis of the space of Whittaker functionals. By analyzing the nonsingularity of local coefficient matrices, we prove that for a certain class of unramified principal series representations of the metaplectic group, the local metaplectic correspondence preserves irreducibility.
1
Dept. of Mathematics and Computer Science, Western Carolina University, Cullowhee, NC 28723, U.S.A.
Mark Budden; Geoff Goehle. Local Coefficient Matrices and the Metaplectic Correspondence. Journal of Lie Theory, Tome 27 (2017) no. 3, pp. 657-670. http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a2/
@article{JOLT_2017_27_3_a2,
author = {Mark Budden and Geoff Goehle},
title = {Local {Coefficient} {Matrices} and the {Metaplectic} {Correspondence}},
journal = {Journal of Lie Theory},
pages = {657--670},
year = {2017},
volume = {27},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a2/}
}
TY - JOUR
AU - Mark Budden
AU - Geoff Goehle
TI - Local Coefficient Matrices and the Metaplectic Correspondence
JO - Journal of Lie Theory
PY - 2017
SP - 657
EP - 670
VL - 27
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a2/
ID - JOLT_2017_27_3_a2
ER -
%0 Journal Article
%A Mark Budden
%A Geoff Goehle
%T Local Coefficient Matrices and the Metaplectic Correspondence
%J Journal of Lie Theory
%D 2017
%P 657-670
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2017_27_3_a2/
%F JOLT_2017_27_3_a2
