Test vectors for trilinear forms, when two representations are unramified and one is special - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2007

Test vectors for trilinear forms, when two representations are unramified and one is special

Résumé

Let F be a finite extension of Qp and G be GL(2,F). When V is the tensor product of three admissible, irreducible, finite dimensional representations of G, the space of G-invariant linear forms has dimension at most one. When a non zero linear form exists, one wants to find an element of V which is not in its kernel: this is a test vector. Gross and Prasad found explicit test vectors for some triple of representations. In this paper, others are found, and they almost complete the case when the conductor of each representation is at most 1.
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Dates et versions

hal-00140582 , version 1 (06-04-2007)

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Louise Nyssen. Test vectors for trilinear forms, when two representations are unramified and one is special. 2007. ⟨hal-00140582⟩
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