Test vectors for trilinear forms when at least one representation is not supercuspidal

Details Test vectors for trilinear forms when at least one representation is not supercuspidal Test vectors for trilinear forms when at least one representation is not supercuspidal

2010-05-05

arxiv.org/abs/1005.0724v1

Mathematics

Number Theory

23 pages

Scientific paper

Given three irreducible, admissible, infinite dimensional complex
representations of GL2(F), with F a local field, the space of trilinear
functionals invariant by the group has dimension at most one. When it is one we
provide an explicit vector on which the functional does not vanish assuming
that not all three representations are supercuspidal.

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