2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78625Let Γbe one of the N^2-dimensional bicovariant first order differential calculi on the orthogonal or symplectic quantum group O_q(N) or Sp_q(N). The parameter q is not a root of unity. We show that the second antisymmetrizer exterior algebra is the quotient of the universal exterior algebra U by the principal ideal generated by w^2. Here w denotes the unique up to scalars bi-invariant 1-form. Moreover w^2 is central in U and U is an inner differential calculus.20 pages, 10 figures, uses bbm, amsmath, mathrsfsQuantum Algebratext