2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70633We study the problem of constructing a contragredient functor on the category of admissible locally analytic representations of a p-adic analytic group G. A naive contragredient does not exist. As a best approximation, we construct an involutive "duality" functor from the bounded derived category of modules over the distribution algebra of G with coadmissible cohomology to itself. On the subcategory corresponding to complexes of smooth representations, this functor induces the usual smooth contragredient (with a degree shift). Although we construct our functor in general we obtain its involutivity, for technical reasons, only in the case of locally Qp-analytic groups.36 pages, uses xypicNumber TheoryRepresentation Theory11S80; 22E50text