Realizing the local Weil representation over a number field
Representation Theory
2009-04-16 v1 Number Theory
Abstract
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.
Cite
@article{arxiv.0904.2354,
title = {Realizing the local Weil representation over a number field},
author = {Gerald Cliff and David McNeilly},
journal= {arXiv preprint arXiv:0904.2354},
year = {2009}
}