A note on the reality of tensor products

Computer Science

Scientific paper

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Scientific paper

In this paper we prove a statement about the real and pseudoreal (i.e. quaternionic) content of tensor products between real and/or quaternionic representations of compact semisimple Lie algebras (or connected compact semisimple Lie groups) that might be useful in model building when constructing unified theories of fundamental interactions. We also stress the utility of anti-involutions in the description of reality properties.

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