Plongements de séries discrètes pour un espace symétrique réductif

Abstract

RésuméUsing the realization of a discrete series A(λ) of a semi-simple symmetric space G/H as a space of boundary values in the dual space Gd/Kd, we construct an explicit embedding of A(λ) in a principal series Indδ⊗ν⊗1 associated to an open subgroup Q1 of a minimal σθ-stable parabolic subgoup Q of G. The construction of Q1, δ and ν uses the properties of what we call a “fundamental system of roots.