Generalized twist deformations of Poincare and Galilei Hopf algebras

Abstract

The three new deformed Poincare Hopf algebras are constructed with use of twist procedure. The corresponding relativistic space-times providing the sum of canonical and Lie-algebraic type of noncommutativity are proposed. Finally, the nonrelativistic contraction limits to the corresponding Galilei Hopf algebras are performed.

16 pages, the paper accepted for publication in Reports on Mathematical Physics

References in corpus (4)

• New Lie-Algebraic and Quadratic Deformations of Minkowski Space from Twisted Poincare Symmetries
• Covariant Realization of Quantum Spaces as Star Products by Drinfeld Twists
• Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space
• Canonical and Lie-algebraic twist deformations of Galilei algebra

Cited by in corpus (6)

• Classical basis for kappa-Poincare algebra and doubly special relativity theories
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• $\kappa$-Deformations and Extended $\kappa$-Minkowski Spacetimes
• Twisted (2+1) $\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
• Generalized twist deformations of Poincare and Galilei quantum groups
• Twisted Rindler space-times