Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan (2014) kappaDeformed Phase Space, Hopf Algebroid and Twisting. SYMMETRY INTEGRABILITY AND GEOMETRYMETHODS AND APPLICATIONS, 10 . 106110618. ISSN 18150659

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Abstract
Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. We use the dual base to construct the target map and antipode. The notion of twist is analyzed for κdeformed phase space in Hopf algebroid setting. It is outlined how the twist in the Hopf algebroid setting reproduces the full Hopf algebra structure of κPoincar´e algebra. Several examples of realizations are worked out in details.
Item Type:  Article  

Uncontrolled Keywords:  noncommutative space; κκMinkowski spacetime; Hopf algebroid; κκPoincaré algebra; realizations; twist  
Subjects:  NATURAL SCIENCES NATURAL SCIENCES > Physics 

Divisions:  Theoretical Physics Division  
Projects: 


Depositing User:  Kristina Ciglar  
Date Deposited:  12 Apr 2016 10:54  
URI:  http://fulir.irb.hr/id/eprint/2703  
DOI:  10.3842/SIGMA.2014.106 
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