Abstract
The realization of the two-dimensional Poincare algebra in terms of the noncommutative differential calculus on the algebra of functions A is considered. A is the commutative algebra of functions generated by the unitary irreducible representations of the isometry group of the De Sitter momentum space. Corresponding space-time carries the noncommutative geometry (NG) [1–14]. The Gauge invariance principle consistent with this NG is considered.
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Mir-Kasimov, R. (2006). MAXWELL EQUATIONS FOR QUANTUM SPACE-TIME. In: Faddeev, L., Van Moerbeke, P., Lambert, F. (eds) Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete. NATO Science Series, vol 201. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3503-6_18
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DOI: https://doi.org/10.1007/978-1-4020-3503-6_18
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