From: Pertti Lounesto Newsgroups: sci.math.research Subject: Re: s.m.r. Problems for the next century Date: 17 Apr 1997 18:41:15 +0300 JoachimHagemann wrote: >2) --7D vectoranalysis-- Develop a vectoranalysis for the 7D crossproduct algebra (which is derived from the octonions in the same way as the 3D crossproduct algebra is derived from the quaternions) and use it in physics and engineering in a way which is >similar to the traditional 3D vectoranalysis. You might want to take a look at the book G. Dixon: "Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics", Kluwer, 1994. It is very nice starting point for somebody who wants to develop the seven dimensional vector analysis. See the web-site: http://www.7stones.com/Homepage/history.html -- Pertti Lounesto http://www.math.hut.fi/~lounesto