2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52055We construct explicitly the grade star Hermitian adjoint representation of osp(2/1; C) graded Lie algebra. Its proper Lie subalgebra, the even part of the graded Lie algebra osp(2/1; C), is given by su(2) compact Lie algebra. The Baker-Campbell-Hausdorff formula is considered and reality conditions for the Grassman-odd transformation parameters, which multiply the pair of odd generators of the graded Lie algebra, are clarified.4 pages, ReVTeX4, no figures; v2: Eq. (8) corrected and references addedHigh Energy Physics - Theorytext