
Journal of Lie Theory 12 (2002), No. 1, 015030 Copyright Heldermann Verlag 2002 An Explicit Construction of the Metaplectic Representation over a Finite Field Markus Neuhauser Zentrum Mathematik, Technische Universität, Arcisstrasse 21, 80290 München, Germany This paper deals with the metaplectic representation of Sp(n,K), where K is a finite field. We give an explicit, elementary and largely selfcontained construction of the metaplectic representation over finite fields of characteristic not equal to 2. The important steps of the construction will be given for a system of generating elements of Sp(n,K). [ Fulltextpdf (211 KB)] 