Geodesic
Local Coefficient Matrices and the Metaplectic Correspondence
Journal of Lie theory, Tome 27 (2017) no. 3, pp. 657-67
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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.
Classification : 22D30, 11F32, 11F70, 11F85
Mots-clés : Principal series, automorphic forms, Shimura's correspondence 
@article{JLT_2017_27_3_JLT_2017_27_3_a2,
     author = {M. Budden and G. Goehle},
     title = {Local {Coefficient} {Matrices} and the {Metaplectic} {Correspondence}},
     journal = {Journal of Lie theory},
     pages = {657--67},
     year = {2017},
     volume = {27},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2017_27_3_JLT_2017_27_3_a2/}
}
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M. Budden; G. Goehle. Local Coefficient Matrices and the Metaplectic Correspondence. Journal of Lie theory, Tome 27 (2017) no. 3, pp. 657-67. http://geodesic.mathdoc.fr/item/JLT_2017_27_3_JLT_2017_27_3_a2/