Article
Keywords:
ternary multiplication; divison algebras; Leech lattice; sums of powers; quark and lepton spinors
Summary:
In which the binary product algebra of complex numbers, {\bf C}, is generalized to a ternary product algebra, $\mathbf{C}_{3}$.
References:
[1] Conway J.H., Sloane N.J.A.:
Sphere Packings, Lattices and Groups. second edition, Springer, New York, 1993.
MR 1194619 |
Zbl 0915.52003
[3] Cederwall M., Preitschopf C.R.:
$S^7$ and $\widehat{S^7}$. Comm. Math. Phys 167 (1995), 373–393.
MR 1316511
[4] Dixon G.M.: Octonion XY-Product. hep-th 9503053.