THE OCTONIONS. JOHN C. BAEZ. Abstract. The octonions are the largest of the four normed division algebras. While somewhat neglected. The expository article about octonions by John (Baez) that appeared in the AMS Bulletin (copy here, a web-site here) is one of the best pieces. After the octonions comes a dimensional number system called the ” sedenions”. They have some nice features, which I describe in this.
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There are 7 ways to do this, giving 7 maximal orders, which are all equivalent under cyclic permutations of the 7 coordinates But of ooctonions, none of this has anything to do with whether superstring theory is right as a theory of physics.
They protest against the increased price IV, 36 The seven points correspond to the seven standard basis elements of Im O see definition below.
They are beautiful dreams — but so far only dreams.