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

By Mladen Dimitrov and Louise Nyssen

Abstract

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

Topics: Représentations des groupes p-adiques, Formes tri-linéaires, 11F70, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]
Publisher: Springer Verlag
Year: 2010
DOI identifier: 10.1007/s00229-010-0382-0
OAI identifier: oai:HAL:hal-00480599v1
Provided by: Hal-Diderot

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