# Ternary symmetries and the Lorentz group

Banach Center Publications (2011)

- Volume: 93, Issue: 1, page 51-58
- ISSN: 0137-6934

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topRichard Kerner. "Ternary symmetries and the Lorentz group." Banach Center Publications 93.1 (2011): 51-58. <http://eudml.org/doc/282253>.

@article{RichardKerner2011,

abstract = {We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a Z₃-graded three-form on a Z₃-graded cubic algebra representing quarks endowed with non-standard commutation laws. The ternary commutation relations on an algebra generated by two elements lead to cubic combinations of three quarks or antiquarks that transform as Lorentz spinors, and binary quark-anti-quark combinations that transform as Lorentz vectors.},

author = {Richard Kerner},

journal = {Banach Center Publications},

keywords = {space-time symmetries; algebra of quarks; ternary algebras; quark states; Lorentz group},

language = {eng},

number = {1},

pages = {51-58},

title = {Ternary symmetries and the Lorentz group},

url = {http://eudml.org/doc/282253},

volume = {93},

year = {2011},

}

TY - JOUR

AU - Richard Kerner

TI - Ternary symmetries and the Lorentz group

JO - Banach Center Publications

PY - 2011

VL - 93

IS - 1

SP - 51

EP - 58

AB - We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a Z₃-graded three-form on a Z₃-graded cubic algebra representing quarks endowed with non-standard commutation laws. The ternary commutation relations on an algebra generated by two elements lead to cubic combinations of three quarks or antiquarks that transform as Lorentz spinors, and binary quark-anti-quark combinations that transform as Lorentz vectors.

LA - eng

KW - space-time symmetries; algebra of quarks; ternary algebras; quark states; Lorentz group

UR - http://eudml.org/doc/282253

ER -

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