2 v 1 3 0 A ug 1 99 3 Representations of U ( 1 , q ) and Constructive Quaternion Tensor Products

نویسندگان

  • S De Leo
  • P Rotelli
چکیده

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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تاریخ انتشار 1994