2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62480In this paper we show how to construct explicitly induced representations for bicrossproduct Hopf algebras with abelian kernels starting from one-dimensional characters of the commutative sector. We introduce this technique by means of two concrete physical examples: two quantum deformations of the (1+1) Galilei algebra.LaTeX 2e, 14 pages. Published in Anales de Fisica, Monografias vol. 5 (Ciemat/RSEF, Madrid 1998)Quantum Algebra81R50 (primary), 17B37 (secondary)text