Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ -Minkowski

Journal of High Energy Physics(2023)

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摘要
bstract We discuss the quantum Poincaré symmetries of the ϱ -Minkowski spacetime, a space characterised by an angular form of noncommutativity. We show that it is possible to give them both a bicrossproduct and a Drinfel’d twist structure. We also obtain a new noncommutative ⋆-product, which is cyclic with respect to the standard integral measure.
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关键词
Non-Commutative Geometry,Quantum Groups,Space-Time Symmetries
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