κ-Deformed Phase Space, Hopf Algebroid and Twisting (CROSBI ID 211848)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Jurić, Tajron ; Kovačević, Domagoj ; Meljanac, Stjepan
engleski
κ-Deformed Phase Space, Hopf Algebroid and Twisting
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 κ-deformed phase space in Hopf algebroid setting. It is outlined how the twist in the Hopf algebroid setting reproduces the full Hopf algebra structure of κ-Poincaré algebra. Several examples of realizations are worked out in details.
noncommutative space ; κ-Minkowski spacetime ; Hopf algebroid ; κ-Poincaré algebra ; realizations ; twist.
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Podaci o izdanju
10
2014.
106-124
objavljeno
1815-0659
10.3842/SIGMA.2014.106