INTERNAL SYMMETRY GROUPS OF CUBIC ALGEBRAS

DOI10.1142/S0219887812610075zbMath1264.81225MaRDI QIDQ3164763

Richard Kerner, Osamu Suzuki

Publication date: 16 October 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

cubic Dirac equationPauli's principle\(Z_3\)-symmetryternary and cubic algebras

Mathematics Subject Classification ID

Noncommutative topology (46L85) Axiomatic quantum field theory; operator algebras (81T05) Noncommutative geometry methods in quantum field theory (81T75) Supersymmetry and quantum mechanics (81Q60) Graded rings and modules (associative rings and algebras) (16W50) Ternary compositions (17A40)

Related Items (7)

Noncommutative Galois extensions and ternary Clifford analysis ⋮ Noncommutative Galois extension and graded \(q\)-differential algebra ⋮ Fractals and chaos related to Ising-Onsager-Zhang lattices. Quaternary approach vs. ternary approach ⋮ Ternary \(Z_3\)-symmetric algebra and generalized quantum oscillators ⋮ Semi-commutative Galois Extension and Reduced Quantum Plane ⋮ Fractals and chaos related to Ising-Onsager lattices. Ternary approach versus binary approach ⋮ Internal quark symmetries and colour \(\mathrm{SU}(3)\) entangled with \(Z_3\)-graded Lorentz algebra

Cites Work

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• On the ternary complex analysis and its applications
• The cubic chessboard
• Hypersymmetry: A ℤ3-graded generalization of supersymmetry
• Stability of Matter. I
• Sur l'équation de M. Pierre Humbert
• Kinematical superalgebras and Lie algebras of order 3
• The Connection Between Spin and Statistics

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