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PARA-GALILEAN VERSUS GALILEAN NONCOMMUTATIVE PHASE SPACES

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Publication:2865237
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DOI10.1142/S0219887813500497zbMath1279.83026arXiv1207.3919MaRDI QIDQ2865237

Joachim Nzotungicimpaye, Leonard Todjihounde, Ancille Ngendakumana

Publication date: 29 November 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3919

zbMATH Keywords

coadjoint orbitsymplectic realizationmagnetic and dual magnetic fieldsnoncommutative phase spaceGalilei and para-Galilei groupsnoncentral extensions


Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) General properties and structure of complex Lie groups (22E10) Methods of noncommutative geometry in general relativity (83C65) Noncommutative geometry (à la Connes) (58B34)


Related Items

Group theoretical construction of planar noncommutative phase spaces



Cites Work

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  • Galilei-Newton law by symplectic realizations
  • Newton's second law in a non-commutative space
  • Possible Kinematics
  • Quantization and unitary representations
  • Quantized Space-Time
  • On the Contraction of Groups and Their Representations
  • The exotic Galilei group and the ``Peierls substitution.
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