Differential calculi on quantum Minkowski space

Abstract

The differential calculus on n-dimensional quantum Minkowski space covariant with respect to left action of Kappa-Poincar'e group is constructed and its uniqueness is shown.

AMSTeX, Pages 9

References in corpus (3)

• Bicrossproduct structure of $\kappa$-Poincare group and non-commutative geometry
• Noncommutative Differential Calculus on the Kappa-Minkowski Space
• The Quantum Deformed Dirac Equation from the k-Poincare` Algebra

Cited by in corpus (17)

• Classification of Differential Calculi on U_q(b+), Classical Limits, and Duality
• Differential structure on kappa-Minkowski space, and kappa-Poincare algebra
• Toward the classification of differential calculi on $\kappa$-Minkowski space and related field theories
• Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Scalar Field theory in $\kappa$-Minkowski spacetime from twist
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer
• Universal $\kappa$-Poincaré covariant differential calculus over $\kappa$-Minkowski space
• Differential forms and k-Minkowski spacetime from extended twist
• Spectral dimensions and dimension spectra of quantum spacetimes
• Blackbody radiation in κ-Minkowski spacetime
• A short introduction to $\kappa$-deformation
• Dirac operator on $\kappa$-Minkowski space bicovariant differential calculus and deformed U(1) gauge theory
• Central tetrads and quantum spacetimes
• Realization of bicovariant differential calculus on the Lie algebra type noncommutative spaces
• Generalization of Weyl realization to a class of Lie superalgebras