2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76681The quantum general linear supergroup GLq(m|n) is defined and its structure is studied systematically. Quantum homogeneous supervector bundles are introduced following Connes' theory, and applied to develop the representation theory of GLq(m|n). Quantum Frobenius reciprocity is proven, and a Borel - Weil theorem is established for the irreducible covariant and contravariant tensor representations.To appear in the Proceedings of the Fifth International Wigner Symposium, 25-29 August 1997, ViennaQuantum AlgebraRepresentation Theorytext