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The Weil Representation in Characteristic Two

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.

preprint2008arXivOpen access
Shamgar GurevichRonny Hadani
math.CTmath.RTmath.SGmath.GRmath-phmath.QAmath.MPmath.AGmath.NTquant-ph
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Shamgar GurevichRonny Hadani

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