On supports of induced representations for p-adic special orthogonal and general spin groups

Abstract

To an irreducible representation of p-adic even special orthogonal groups, unitary groups, and general spin groups, we associate a family of irreducible representations of smaller rank groups of the same type based on the supercuspidal support. We further show that this correspondence respects temperedness, square-integrability, duality, and parabolic induction.