Index  Octonions  Mathematics and Physics Interactive Tutorials  Resume 
Most people visiting this page are actually after this other page. 

The third
Octoshop is over, and thanks to all participants
it was a great success.
Everyone who wanted to talk did
so to their heart's content, and everyone who wanted to
interrupt and harass did so till they could do no more.
Much was learned, and many doors opened. Suggestion:
henceforth this page will link to any material
on the division algebras and other exceptional and/or
special mathematical structures. Send me suggestions. While I'm
at it, re the problem of nested 6th roots of unity: G[A] = (v*u^{2}v)(v*Av)(v*uv). This is a double nesting, so presumably it requires 2 more nestings to do all of SO(8) than to do G_{2} alone  conjecture at this point. Note: it
was suggested that a 7 deep nesting was required
to get all of SO(8). At Geoffrey Dixon


pdf of 1999 paper:
Algebraic Spinor Reduction Yields the Standard Symmetry and Family Structure
pdf of 2000
paper (modified 7 September 2000):
Tensored Division Algebras: Resolutions of the Identity and Particle Physics
pdf of 2002
paper on leptoQuark family replication:
Division Algebras: Family Replication
Some related sites.
Index  Octonions  Mathematics and Physics Interactive Tutorials  Resume 