Realizing the local Weil representation over a number field

Details Realizing the local Weil representation over a number field Realizing the local Weil representation over a number field

2009-04-15

arxiv.org/abs/0904.2354v1

Mathematics

Representation Theory

Scientific paper

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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