2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99305The representation theory for categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these categories contain representations which are indecomposable but not irreducible. A simple example is computed in explicit detail.35 pages. v2: improved presentation with additional proofsCategory TheoryGeneral Relativity and Quantum CosmologyQuantum Algebratext