Branching rules and even-dimensional rotation groups SO2k
- 1 August 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (11), 2405-2421
- https://doi.org/10.1088/0305-4470/16/11/013
Abstract
Unambiguous methods are developed for calculating branching rules for the classical subgroups of the even-dimensional rotation group SO2k. Complete results are given for the subgroups SUk*U1, SO2k-2*U1, SO2p*SO2q and SO2p+1*SO2q+1. A number of examples relevant to problems in supergravity and unification theories are given. A complete resolution of the antisymmetric powers of the basic spinor irrep of SO10 is given and the results extended to SO11.Keywords
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