<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math>-Spin and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi></mml:math>-Spin Subgroups of SU(12)

Calculations of many physical processes according to the SU(12) theories(1) can be facilitated by the use of appropriate subgroups of SU(12). Direct calculations are difficult because of the complexity of the group and the present lack of available Clebsch-Gordan coefficients. Tables of SU(6) Clebsch-Gordan coefficients do exist,(2) however, and have been used for calculations of non-relativistic processes. In this paper we present SU(6) subgroups which differ from the conventional SU(6) by the replacement of ordinary spin by different SU(2) subgroups of SU(12).