… Work along these lines continued quite slowly until the 1980s, when it was realized that
the octonions explain some curious features of string theory [63]. The Lagrangian for the …

… This book is intended as an introduction to the octonions. It is not a mathematics text; …
with the octonions is to work with what we call generic octonions. Any single octonion x can …

… We show that the octonions are a twisting of the group algebra of = = 2 2 2 in the quasitensor
… constructions for quasialgebras exactly along the lines of the associative theory, including …

… Perhaps these notes might be a useful introduction for students who wish to enter the
subject. Our emphasis is on characterizing the relevant algebraic structures—such as cross …

… The attempts enumerated above seem to provide sufficient motivation for a reformulation of
the octonion algebra, and the groups … the automorphism group of the octonions, which is the …

… The analysis reveals that Aut(O) falls into the classification of compact simple Lie groups as
the … In §6 we make further comments about the Lie algebra of Aut(O), including the fact that it …

… , we obtained the Laurent series theorem on the octonions. … the pointwise singularities
theory on the octonions. We borrow the ideas heavily from [1], [4], but, because of the octonions …

… This monograph begins in chapter 2 with a development of general division algebra theory
with the focus on the octonions. The cyclic multiplication tables I employ are not new, but they …

… The analogue of the corresponding quaternion function, which is not the most general type of
the octonion … By the definition of the octonion No (§ 6 above) we see that Ne is a lator equal …

… The purpose of this paper is to examine these theories … the basis of Standard Model physics
lies somewhere within them. We aim to show that, while octonions are not the origin of the …