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arXiv · hep-th/9308142

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

S. De Leo·P. Rotelli
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Abstract

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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S. De Leo, P. Rotelli. 1993-08-30. Representations of U(1,q) and Constructive Quaternion Tensor Products. https://doi.org/10.1007/bf02741288

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