# Lorentz and SU(3) groups derived from cubic quark algebra

@article{Kerner2009LorentzAS, title={Lorentz and SU(3) groups derived from cubic quark algebra}, author={Richard Kerner}, journal={arXiv: Mathematical Physics}, year={2009} }

We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a $Z_3$-graded three-form on a $Z_3$-graded cubic algebra representing quarks endowed with non-standard commutation laws.

## 5 Citations

### Towards a Z3-graded approach to quarks’ symmetries

- 2019

Physics

Journal of Physics: Conference Series

Colour SU(3) group is an exact symmetry of Quantum Chromodynamics, which describes strong interactions between quarks and gluons. Supplemented by two internal symmetries, SU(2) and U(1), it serves as…

### Z3-graded colour Dirac equations for quarks, confinement and generalized Lorentz symmetries

- 2019

Physics

Physics Letters B

### The Z3-graded extension of the Poincar\'e group

- 2019

Mathematics

A Z3 symmetric generalization of the Dirac equation was proposed in recent series of papers, where its properties and solutions discussed. The generalized Dirac operator acts on "coloured spinors"…

### On n-ary algebras, branes and poly-vector gauge theories in noncommutative Clifford spaces

- 2009

Mathematics

In this paper, poly-vector-valued gauge field theories in noncommutative Clifford spaces are presented. They are based on noncommutative (but associative) star products that require the use of the…

### A first approach to the Galois group of chaotic chains

- 2019

Computer Science

The definition, construction and generalisation of the Galois group of Chebyshev polynomials of high degree to the Galese group of chaotic chains is explained.

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