4 papers · 1 filter
Clifford algebras obtained by twisting of group algebras
H. Albuquerque, S. Majid
We investigate the construction and properties of Clifford algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z_2…
Z_n Quasialgebras
H. Albuquerque, S. Majid
Recently we have reformulated the octonions as quasissociative algebras (quasialgebras) living in a symmetric monoidal category. In this note we provide further examples of quasial…
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 (…
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…