2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64976We introduce the concept of orientation for Lagrangian matroids represented in the flag variety of maximal isotropic subspaces of dimension N in the real vector space of dimension 2N+1. The paper continues the study started in math.CO/0209100.Requires amssymb.sty; 17 pagesCombinatorics05B35Lagrangian Matroids: Representations of Type $B_n$text