Twist deformations of Newton-Hooke Hopf algebras

Abstract

We construct five new quantum Newton-Hooke Hopf algebras with the use of Abelian twist procedure. Further we demonstrate that the corresponding deformed space-times with quantum space and classical time are periodic or expanding in time.

11 pages, no figures, the paper accepted for publication in Mod.Phys.Lett.A

References in corpus (4)

• 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
• Canonical, Lie-algebraic and quadratic twist deformations of Galilei group

Cited by in corpus (6)

• Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra
• N-enlarged Galilei Hopf algebra and its twist deformations
• Noncommutative Sprott systems and their jerk dynamics
• Features of description of composite system's motion in twist-deformed space-time
• Twist deformation of doubly enlarged Newton-Hooke Hopf algebra
• Spectra of disc operator for twisted acceleration-enlarged Newton-Hooke space-times