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Article Dans Une Revue Manuscripta mathematica Année : 2010

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

Résumé

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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Dates et versions

hal-00480599 , version 1 (04-05-2010)

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Mladen Dimitrov, Louise Nyssen. Test vectors for trilinear forms when at least one representation is not supercuspidal. Manuscripta mathematica, 2010, 133 (3-4), pp.479-504. ⟨10.1007/s00229-010-0382-0⟩. ⟨hal-00480599⟩
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