Octonionic representations of SO(8) and its subgroups and cosets
- 1 May 1991
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (5) , 1176-1181
- https://doi.org/10.1063/1.529314
Abstract
The generators of the subgroups SO(7)L,R and the cosets S7L,R=SO(8)/SO(7)L,R and Σ7L,R=SO(7)L,R/G2 of SO(8) are constructed out of the generators of SO(8) using octonionic structure tensors, and the representations of these generators are given as products of octonions.Keywords
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