The Weil Representation in Characteristic Two

Details The Weil Representation in Characteristic Two The Weil Representation in Characteristic Two

2008-08-12

arxiv.org/abs/0808.1664v1

Mathematics

Representation Theory

This paper was submitted for publication May 1, 2008

Scientific paper

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.

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