Symmetrised powers of rotation group representations
- 1 October 1981
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (10) , 2509-2538
- https://doi.org/10.1088/0305-4470/14/10/009
Abstract
The results given permit the unambiguous evaluation of all possible Kronecker products of the irreducible representations (tensor and spinor) of On and SOn for n=2 nu and n=2 nu +1. A complete resolution of the second and third powers of the basic spinor representations of SO2 nu and SO2 nu +1 is given, together with a prescription for analysing the fourth power of these representations. Detailed application is made to the enumeration of properties of SO10 relevant to grand unified theories, and sufficient information given to resolve the fourth power of any representation of SO10.Keywords
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