%0 Journal Article
%T Realizing the local Weil representation over a number field
%A Gerald Cliff
%A David McNeilly
%J Mathematics
%D 2009
%I arXiv
%X We show that the Weil representation of the symplectic group Sp(2n,F), where F is a non-archimedian local field, can be realized over the field obtained from the rationals by adjoining the square roots of p and -p, where p is the residue characteristic of F; p is assumed to be odd.
%U http://arxiv.org/abs/0904.2354v1