Quasialgebra structure of the octonions

Simple item page
dc.creatorAlbuquerque, H.
dc.creatorMajid, S.
dc.date1998-02-25
dc.date.accessioned2026-07-07T05:23:56Z
dc.date.available2026-07-07T05:23:56Z
dc.descriptionWe 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-cocycle. We consider general quasi-associative algebras of this type and some general constructions for them, including quasi-linear algebra and representation theory, and an automorphism quasi-Hopf algebra. Other examples include the higher 2^n-onion Cayley algebras and examples associated to Hadamard matrices.
dc.description34 pages LATEX
dc.identifierhttps://arxiv.org/abs/math/9802116
dc.identifierhttp://arxiv.org/abs/math/9802116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76644
dc.subjectQuantum Algebra
dc.titleQuasialgebra structure of the octonions
dc.typetext

Files

Collections

arXiv