Original scientific paper

Degenerate Eisenstein series on symplectic groups

Goran Muić ; Department of Mathematics, University of Zagreb, Zagreb, Croatia

Abstract

In this paper we describe the generalization of usual notion of Siegel Eisenstein series (see for example [9]) to give a simple and natural construction of some classes of square--integrable automorphic representations for symplectic groups. The construction of automorphic representations obtained in this paper is an automorphic version of the local construction of strongly negative
unramified representations [5] or of discrete series obtained by Tadić
[11] in early 90's (see also later work [8]). This is taken from our paper [7].
As an application we show how one can obtain an automorphic
realization of certain global spherical representations. This has an
interesting consequence locally and globally. We adopt
Arthur's point of view (see [2])

Keywords

automorphic forms; Eisenstein series

Hrčak ID:

30885

URI

https://hrcak.srce.hr/30885

Publication date:

23.12.2008.

Visits: 1.447 *