Kinematical superalgebras and Lie algebras of order 3

Abstract

We study and classify kinematical algebras which appear in the framework of Lie superalgebras or Lie algebras of order three. All these algebras are related through generalised Inonü-Wigner contractions from either the orthosymplectic superalgebra or the de Sitter Lie algebra of order three.

arXiv commentLaTeX, 16 pages

References in corpus (14)

• Tachyon Condensates, Carrollian Contraction of Lorentz Group, and Fundamental Strings
• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• Group Theoretical Foundations of Fractional Supersymmetry
• Geometrical foundations of fractional supersymmetry
• Fractional Supersymmetry and Fth-Roots of Representations
• Local Fractional Supersymmetry for Alternative Statistics
• Finite-dimensional Lie algebras of order F
• Field Theoretic Realizations for Cubic Supersymmetry
• Boson representations, non-standard quantum algebras and contractions
• Cubic supersymmetry and abelian gauge invariance
• Extended Fractional Supersymmetric Quantum Mechanics
• Galilei invariant theories. I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions
• Poincaré and sl(2) algebras of order 3
• Internal labelling operators and contractions of Lie algebras

Cited by in corpus (8)

• Kinematical Lie algebras via deformation theory
• Higher-dimensional kinematical Lie algebras via deformation theory
• Hopf algebras for ternary algebras
• Kinematical superspaces
• The partially alternating ternary sum in an associative dialgebra
• Spacetime Symmetries and Z_3-graded Quark Algebra
• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra
• Kaluza-Klein reductions of maximally supersymmetric five-dimensional lorentzian spacetimes