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The discrete quantum origin of the Lorentz group and the Z3-graded ternary algebras

TYPETheor./Math. Physics Seminar
Speaker:Richard Kerner
Affiliation:Universite Pierre-et-Marie Curie, Paris
Location:Lewiner Seminar Room (412)
Abstract:Abstract: We show how the Lorentz symmetry represented by the SL(2,C) group can be introduced without any notion of metric, just as the symmetry of Z3-graded cubic algebra with two generators, and its constitutive relations.
Its representation is found in terms of the Pauli matrices. The relation of such algebraic constructions with quark states is also considered.