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Journal Articles Journal of Physics: Conference Series Year : 2015

Ternary generalization of Heisenberg's algebra


A concise study of ternary and cubic algebras with Z3 grading is presented. We discuss some underlying ideas leading to the conclusion that the discrete symmetry group of permutations of three objects, S3, and its abelian subgroup Z3 may play an important role in quantum physics. We show then how most of important algebras with Z2 grading can be generalized with ternary composition laws combined with a Z3 grading.
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hal-01261525 , version 1 (25-01-2016)




Richard Kerner. Ternary generalization of Heisenberg's algebra. Journal of Physics: Conference Series, 2015, 624, pp.012021 ⟨10.1088/1742-6596/624/1/012021⟩. ⟨hal-01261525⟩
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