2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162840We characterize the collinearity (adjacency) relation of half-spin Grassmann spaces in terms of the relation to be opposite in the corresponding collinearity graphs. Also we show that this characterization does not hold for dual polar spaces.Category TheoryGroup Theory51M35, 14M15Opposite relation on dual polar spaces and half-spin Grassmann spacestext