KAPPA-MINKOWSKI SPACETIME, KAPPA-POINCARÉ HOPF ALGEBRA AND REALIZATIONS

DOI10.1142/S0219887812610099zbMath1251.83006OpenAlexW2088456577MaRDI QIDQ3164765

Domagoj Kovačević, Stjepan Meljanac

Publication date: 16 October 2012

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

Full work available at URL: https://doi.org/10.1142/s0219887812610099

zbMATH Keywords

realization\(\kappa \)-Minkowski spacetime\(\kappa \)-Poincaré Hopf algebra

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Special relativity (83A05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) General properties and structure of complex Lie groups (22E10) Lie algebras of linear algebraic groups (17B45) Hopf algebras and their applications (16T05)

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Cites Work

• Covariant realizations of kappa-deformed space
• \(\kappa \)-Minkowski spacetime and the star product realizations
• New realizations of Lie algebra kappa-deformed Euclidean space
• Doubly special relativity theories as different bases of \(\kappa\)-Poincaré algebra
• Classical and quantum mechanics of free \(\kappa\)-relativistic systems
• Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
• DIFFERENTIAL STRUCTURE ON κ-MINKOWSKI SPACE, AND κ-POINCARÉ ALGEBRA
• SCALAR FIELD THEORY ON κ-MINKOWSKI SPACE–TIME AND TRANSLATION AND LORENTZ INVARIANCE
• The classical basis for the κ-Poincaré Hopf algebra and doubly special relativity theories
• κ-DEFORMED STATISTICS AND CLASSICAL FOUR-MOMENTUM ADDITION LAW
• Twisted classical Poincare algebras
• NON-COMMUTATIVE SPACE–TIME OF DOUBLY SPECIAL RELATIVITY THEORIES