Lukierski, Jerzy; Meljanac, Daniel; Meljanac, Stjepan; Pikutić, Danijel; Woronowicz, Mariusz (2018) Liedeformed quantum Minkowski spaces from twists: Hopfalgebraic versus Hopfalgebroid approach. Physics Letters B, 777 . pp. 17. ISSN 03702693

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Abstract
We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the ones given in [1], which lead to the class of Liedeformed quantum Minkowski spaces. We apply corresponding twist quantization in two ways: as generating quantum Poincare–Hopf algebra providing quantum Poincare symmetries, and by considering the quantization which provides Hopf algebroid describing class of quantum relativistic phase spaces with builtin quantum Poincare covariance. If we assume that Lorentz generators are orbital i.e. do not describe spin degrees of freedom, one can embed the considered generalized phase spaces into the ones describing the quantumdeformed Heisenberg algebras.
Item Type:  Article  

Uncontrolled Keywords:  noncommutative space  
Subjects:  NATURAL SCIENCES > Physics  
Divisions:  Division of Materials Physics Theoretical Physics Division 

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Depositing User:  Daniel Meljanac  
Date Deposited:  19 Jan 2018 08:29  
URI:  http://fulir.irb.hr/id/eprint/3839  
DOI:  10.1016/j.physletb.2017.12.007 
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