WWW-O The weird and wonderful world of octonions
نویسنده
چکیده
Introduction. Unlike most of the seminars this term, my talk does not contain anything new, or even any of my own work. I chose the topic of octonions as I thought it would be a topic that few people knew about, but after I’ve been here a few months I find that there are several experts in the subject here. As far as I can tell, they tend to use real (or complex) octonions as a way of studying the exceptional Lie algebras, and hence a number of associated physical theories. But one can also study octonions over finite fields, and use them to study the finite exceptional groups of Lie type.
منابع مشابه
On quaternions and octonions: their geometry, arithmetic, and symmetry, A K
Conway and Smith’s book is a wonderful introduction to the normed division algebras: the real numbers (R), the complex numbers (C), the quaternions (H), and the octonions (O). The first two are well-known to every mathematician. In contrast, the quaternions and especially the octonions are sadly neglected, so the authors rightly concentrate on these. They develop these number systems from scrat...
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تاریخ انتشار 2004