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- Title
Test vectors for trilinear forms when at least one representation is not supercuspidal.
- Authors
Dimitrov, Mladen; Nyssen, Louise
- Abstract
Given three irreducible, admissible, infinite dimensional complex representations of GL( F), with F a local non-Archimedean 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.
- Subjects
VECTOR analysis; TRILINEAR forms; REPRESENTATIONS of algebras; DIMENSIONAL analysis; ALGEBRAIC fields; FUNCTIONAL analysis; GROUP theory
- Publication
Manuscripta Mathematica, 2010, Vol 133, Issue 3/4, p479
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-010-0382-0