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Test vectors for trilinear forms when at least one representation is not supercuspidal
Journal article   Open access   Peer reviewed

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

Mladen Dimitrov and Louise Nyssen
Manuscripta mathematica, Vol.133(3-4), pp.479-504
2010

Abstract

Représentations des groupes p-adiques Formes tri-linéaires 11F70
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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