The Weil Representation in Characteristic Two
Representation Theory
2016-09-08 v1 Mathematical Physics
Algebraic Geometry
Category Theory
Group Theory
math.MP
Number Theory
Quantum Algebra
Symplectic Geometry
Quantum Physics
Abstract
In this paper we construct a new variant of the Weil representation, associated with a symplectic vector space V defined over a finite field of characteristic two. Our variant is a representation of a bigger group than that of Weil. In the course, we develop the formalism of canonical vector spaces, which enables us to realize the bigger symmetry group and the representation in a transparent manner.
Cite
@article{arxiv.0808.1664,
title = {The Weil Representation in Characteristic Two},
author = {Shamgar Gurevich and Ronny Hadani},
journal= {arXiv preprint arXiv:0808.1664},
year = {2016}
}
Comments
This paper was submitted for publication May 1, 2008