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math-ph2009★ 5 cited
Lorentz and SU(3) groups derived from cubic quark algebra
Richard Kerner
We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a -graded three-form on a -graded cubic algebra representing quarks…
math.RA2009
Algebras with ternary law of composition and their realization by cubic matrices
V. Abramov, R. Kerner, O. Liivapuu +1
We study partially and totally associative ternary algebras of first and second kind. Assuming the vector space underlying a ternary algebra to be a topological space and a triple…