Cohomology and Decomposition of Tensor Product Representations of SL(2,R)

Andre van Tonder

doi:10.1016/j.nuclphysb.2003.10.029

paper

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.

arXiv comment22 pages, no figures, Latex2e Added section on product of finite and continuous series

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