2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/198767We give a geometric characterization of the quasi axial-vector (Kiritsis-Obers) target space duality in the spirit of the bi-algebra (Klimcik-Severa) approach. We show that the sigma-models constructed by taking quotients have non-abelian chiral currents that obey "non-commutative conservation laws" and provide the criterion for a sigma-model to have a dual using the axial-vector procedure.10 pages, plain LaTeX 2e. The paper (and conclusions) is significantly revised due to a misprint in one of the references. If you read the old version, you SHOULD get this oneHigh Energy Physics - TheoryNon-Abelian Axial-Vector Duality: a Geometric Descriptiontext