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.

arXiv comment14 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

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Cited by in corpus (7)

• Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time
• Classical Mechanics on Noncommutative Space with Lie-algebraic Structure
• Twist deformations of Newton-Hooke Hopf algebras
• 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
• Twist deformation of doubly enlarged Newton-Hooke Hopf algebra
• Twisted Rindler space-times