Cohomology and Decomposition of Tensor Product Representations of SL(2,R)
Abstract
Description
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
22 pages, no figures, Latex2e Added section on product of finite and continuous series