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OCTONIONIC REPRESENTATIONS OF SO(8) AND ITS SUBGROUPS AND COSETS

1991-05-01
DUNDARER, AR
GURSEY, F
The generators of the subgroups SO(7) L,R and the cosets S(L,R)7 = SO(8)/SO(7) L,R and SIGMA-L,R7 = 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.