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arXiv · 0904.2354

Realizing the local Weil representation over a number field

Gerald Cliff·David McNeilly
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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.

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Gerald Cliff, David McNeilly. 2009-04-15. Realizing the local Weil representation over a number field. https://arxiv.org/abs/0904.2354

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