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math.QA1998
New approach to octonions and cayley algebras
H. Albuquerque, S. Majid
We announce a new approach to the octonions as quasiassociative algebras. We strip out the categorical and quasi-quantum group considerations of our longer paper and present here (…
math.QA1998
Quasialgebra structure of the octonions
H. Albuquerque, S. Majid
We show that the octonions are a twisting of the group algebra of Z_2 x Z_2 x Z_2 in the quasitensor category of representations of a quasi-Hopf algebra associated to a group 3-coc…