Ternary symmetries and the Lorentz group

• Autorzy: Richard Kerner
• Języki publikacji: EN

Abstrakty

EN

We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a Z₃-graded three-form on a Z₃-graded cubic algebra representing quarks endowed with non-standard commutation laws. The ternary commutation relations on an algebra generated by two elements lead to cubic combinations of three quarks or antiquarks that transform as Lorentz spinors, and binary quark-anti-quark combinations that transform as Lorentz vectors.

Kategorie tematyczne

• 08A02: Relational systems, laws of composition
• 81T05: Axiomatic quantum field theory; operator algebras
• 20C33: Representations of finite groups of Lie type
• 81T75: Noncommutative geometry methods
• 20C35: Applications of group representations to physics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 93
• Numer: 1
• Strony: 51-58

Daty

wydano

2011

Twórcy

autor

Richard Kerner

• LPTMC, Université Pierre et Marie Curie, CNRS URM 7600, Tour 23, Boîte Courrier 121, 4 Place Jussieu, 75005 Paris, France

Identyfikatory

DOI

10.4064/bc93-0-4