Generalized twist deformations of Poincare and Galilei quantum groups

TL;DR

This paper constructs and analyzes generalized twist deformations of Poincare and Galilei quantum groups, providing explicit duals and their nonrelativistic limits using FRT and contraction methods.

Contribution

It introduces a systematic approach to derive and study generalized twist deformations of Poincare and Galilei quantum groups, including their dual structures.

Findings

Explicit dual quantum groups for twist deformed Poincare algebras

Construction of Galilean quantum groups via contraction

Identification of algebraic structures of deformed groups

Abstract

The three quantum groups dual to the generalized twist deformed Poincare Hopf algebras are provided with use of FRT procedure. Their Galilean counterparts are obtained by nonrelativistic contraction scheme.