2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63151We give explicit formulae for certain elements occurring in the Bernstein presentation of an affine Hecke algebra, in terms of the usual Iwahori- Matsumoto generators. We utilize certain minimal expressions for said elements and we give a sheaf-theoretic interpretation for the existence of these minimal expressions.To appear, J. of AlgebraRepresentation Theory20C08 (Primary) 14M15 (Secondary)text