arXiv:0808.1664 Abstract | arXiv Analytics

arXiv:0808.1664 [math.RT]Abstract References Reviews Resources

The Weil Representation in Characteristic Two

Published 2008-08-12Version 1

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.

Comments: This paper was submitted for publication May 1, 2008

Categories: math.RT, math-ph, math.AG, math.CT, math.GR, math.MP, math.NT, math.QA, math.SG, quant-ph

Keywords: weil representation, characteristic, symplectic vector space, bigger symmetry group, transparent manner, canonical model

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