Glasnik matematički, Vol. 50 No. 2, 2015.
Original scientific paper
https://doi.org/10.3336/gm.50.2.04
DEGENERATE EISENSTEIN SERIES FOR SYMPLECTIC GROUPS
Marcela Hanzer
; Marcela Hanzer Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Abstract
In this paper we determine the poles (in the right half-plane) with their order of the degenerate Eisenstein series attached to the representations induced from a character of the Siegel maximal parabolic subgroup of a symplectic group. We explicitly determine the image of the Eisenstein series and thus determine an automorphic realization of certain irreducible global representations of Sp2n(AQ).
Keywords
Automorphic representations; degenerate Eisenstein series; symplectic groups
Hrčak ID:
150132
URI
Publication date:
29.12.2015.
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