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.

LaTeX, 16 pages

References in corpus (4)

• Newton-Hooke Algebras, Non-relativistic Branes and Generalized pp-wave Metrics
• 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 (3)

• The partially alternating ternary sum in an associative dialgebra
• Some Results on Cubic and Higher Order Extensions of the Poincaré Algebra
• Kaluza-Klein reductions of maximally supersymmetric five-dimensional lorentzian spacetimes