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

Abstract

New Galilei quantum groups dual to the Hopf algebras proposed in [1] are obtained by the nonrelativistic contraction procedures. The corresponding Lie-algebraic and quadratic quantum space-times are identified with the translation sectors of considered algebras.

14 pages, accepted for publication in Mod. Phys. Lett. A, v2: numbers of pages for few references are added, v3: the page numbers for all references in preprint version are provided

References in corpus (3)

• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• On "full" twisted Poincare' symmetry and QFT on Moyal-Weyl spaces
• Covariant Realization of Quantum Spaces as Star Products by Drinfeld Twists

Cited by in corpus (3)

• Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time
• Generating of additional force terms in Newton equation by twist-deformed Hopf algebras and classical symmetries
• Generalized twist deformations of Poincare and Galilei quantum groups