Cohomology and Decomposition of Tensor Product Representations of SL(2,R)
arXiv:hep-th/0212149 · doi:10.1016/j.nuclphysb.2003.10.029
Abstract
We 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 series