Toward ternary C

Geoffrey Dixon

Commentationes Mathematicae Universitatis Carolinae (2010)

  • Volume: 51, Issue: 2, page 185-191
  • ISSN: 0010-2628

Abstract

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In which the binary product algebra of complex numbers, C, is generalized to a ternary product algebra, 𝐂 3 .

How to cite

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Dixon, Geoffrey. "Toward ternary C." Commentationes Mathematicae Universitatis Carolinae 51.2 (2010): 185-191. <http://eudml.org/doc/37751>.

@article{Dixon2010,
abstract = {In which the binary product algebra of complex numbers, C, is generalized to a ternary product algebra, $\mathbf \{C\}_\{3\}$.},
author = {Dixon, Geoffrey},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ternary multiplication; divison algebras; Leech lattice; sums of powers; quark and lepton spinors; ternary multiplication; division algebra; Leech lattice; gauge theory},
language = {eng},
number = {2},
pages = {185-191},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Toward ternary C},
url = {http://eudml.org/doc/37751},
volume = {51},
year = {2010},
}

TY - JOUR
AU - Dixon, Geoffrey
TI - Toward ternary C
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2010
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 2
SP - 185
EP - 191
AB - In which the binary product algebra of complex numbers, C, is generalized to a ternary product algebra, $\mathbf {C}_{3}$.
LA - eng
KW - ternary multiplication; divison algebras; Leech lattice; sums of powers; quark and lepton spinors; ternary multiplication; division algebra; Leech lattice; gauge theory
UR - http://eudml.org/doc/37751
ER -

References

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  1. Conway J.H., Sloane N.J.A., Sphere Packings, Lattices and Groups, second edition, Springer, New York, 1993. Zbl0915.52003MR1194619
  2. Wilson R.A., 10.1016/j.jalgebra.2009.03.021, J. Algebra 322 (2009), no. 6, 2186–2190. MR2542837DOI10.1016/j.jalgebra.2009.03.021
  3. Cederwall M., Preitschopf C.R., S 7 and S 7 ^ , Comm. Math. Phys 167 (1995), 373–393. MR1316511
  4. Dixon G.M., Octonion XY-Product, hep-th 9503053. 
  5. Dixon G.M., Integral Octonions, Octonion Multiplication, and the Leech Lattice, http://www.7stones.com/Homepage/8Lattice.pdf. 
  6. Dixon G.M., Hyperalgebra, http://www.7stones.com/Homepage/24x24x24.pdf. 
  7. Dixon G.M., 10.1063/1.1786682, J. Math. Phys. 45 (2004), 3878. Zbl1071.81050MR2095677DOI10.1063/1.1786682

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