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

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

2002-12-12

arxiv.org/abs/hep-th/0212149v2

Nucl.Phys. B677 (2004) 614-632

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2003.10.029

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.

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