2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98377We analyze the decomposition of tensor products between infinite dimensional (unitary) and finite-dimensional (non-unitary) representations of SL(2,R). Using classical results on indefinite inner product spaces, we derive explicit decomposition formulae, true modulo a natural cohomological reduction, for the tensor products.22 pages, no figures, Latex2e Added section on product of finite and continuous seriesHigh Energy Physics - TheoryRepresentation TheoryCohomology and Decomposition of Tensor Product Representations of SL(2,R)text