| Title:
|
Toward ternary {\bf C} (English) |
| Author:
|
Dixon, Geoffrey |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
51 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
185-191 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In which the binary product algebra of complex numbers, {\bf C}, is generalized to a ternary product algebra, $\mathbf{C}_{3}$. (English) |
| Keyword:
|
ternary multiplication |
| Keyword:
|
divison algebras |
| Keyword:
|
Leech lattice |
| Keyword:
|
sums of powers |
| Keyword:
|
quark and lepton spinors |
| MSC:
|
08A99 |
| idZBL:
|
Zbl 1224.17004 |
| . |
| Date available:
|
2010-05-21T12:42:47Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140098 |
| . |
| Reference:
|
[1] Conway J.H., Sloane N.J.A.: Sphere Packings, Lattices and Groups.second edition, Springer, New York, 1993. Zbl 0915.52003, MR 1194619 |
| Reference:
|
[2] Wilson R.A.: Octonions and the Leech lattice.J. Algebra 322 (2009), no. 6, 2186–2190. MR 2542837, 10.1016/j.jalgebra.2009.03.021 |
| Reference:
|
[3] Cederwall M., Preitschopf C.R.: $S^7$ and $\widehat{S^7}$.Comm. Math. Phys 167 (1995), 373–393. MR 1316511 |
| Reference:
|
[4] Dixon G.M.: Octonion XY-Product.hep-th 9503053. |
| Reference:
|
[5] Dixon G.M.: Integral Octonions, Octonion Multiplication, and the Leech Lattice.http://www.7stones.com/Homepage/8Lattice.pdf. |
| Reference:
|
[6] Dixon G.M.: Hyperalgebra.http://www.7stones.com/Homepage/24x24x24.pdf. |
| Reference:
|
[7] Dixon G.M.: Division Algebras: Family Replication.J. Math. Phys. 45 (2004), 3878. Zbl 1071.81050, MR 2095677, 10.1063/1.1786682 |
| . |
