# Group theoretical construction of planar noncommutative phase spaces

@article{Ngendakumana2013GroupTC,
title={Group theoretical construction of planar noncommutative phase spaces},
author={Ancille Ngendakumana and Joachim Nzotungicimpaye and Leonard Todjihounde},
journal={Journal of Mathematical Physics},
year={2013},
volume={55},
pages={013508}
}
• Published 14 August 2013
• Mathematics
• Journal of Mathematical Physics
Noncommutative phase spaces are generated and classified in the framework of centrally extended anisotropic planar kinematical Lie groups as well as in the framework of noncentrally abelian extended planar absolute time Lie groups. Through these constructions the coordinates of the phase spaces do not commute due to the presence of naturally introduced fields giving rise to minimal couplings. By symplectic realizations methods, physical interpretations of generators coming from the obtained…

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