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

https://hrcak.srce.hr/150132

Publication date:

29.12.2015.

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