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

TL;DR

This paper constructs new Galilei quantum groups via contraction methods, identifying their associated Lie-algebraic and quadratic quantum space-times as translation sectors, expanding the understanding of nonrelativistic quantum symmetries.

Contribution

It introduces novel Galilei quantum groups obtained through contraction, linking them to specific quantum space-times, which advances the study of nonrelativistic quantum symmetries.

Findings

New Galilei quantum groups constructed

Identification of quantum space-times as translation sectors

Extension of nonrelativistic quantum symmetry frameworks

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.