27 citations · 50 across the 14 of their papers we have counts for
5 papers · 1 filter
On quasi-Hopf smash products and twisted tensor products of quasialgebras
Helena Albuquerque, Florin Panaite
We analyze some relations between quasi-Hopf smash products and certain twisted tensor products of quasialgebras. Along the way we obtain also some results of independent interest,…
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…