Representations of U(1,q) and Constructive Quaternion Tensor Products

Details Representations of U(1,q) and Constructive Quaternion Tensor Products Representations of U(1,q) and Constructive Quaternion Tensor Products

1993-08-30

arxiv.org/abs/hep-th/9308142v1

NuovoCim.B110:33-52,1995

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Latex, Dipartimento di Fisica, Universita di Lecce INFN-Sezione di Lecce

Scientific paper

10.1007/BF02741288

The representation theory of the group U(1,q) is discussed in detail because of its possible application in a quaternion version of the Salam-Weinberg theory. As a consequence, from purely group theoretical arguments we demonstrate that the eigenvalues must be right-eigenvalues and that the only consistent scalar products are the complex ones. We also define an explicit quaternion tensor product which leads to a set of additional group representations for integer ``spin''.

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