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arXiv · 2305.00526

Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of $\varrho$-Minkowski

Giuseppe Fabiano·Giulia Gubitosi·Fedele Lizzi·Luca Scala·Patrizia Vitale
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Abstract

We discuss the quantum Poincar\'e symmetries of the $\varrho$-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 $\star$-product, which is cyclic with respect to the standard integral measure.

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Giuseppe Fabiano, Giulia Gubitosi, Fedele Lizzi, Luca Scala, Patrizia Vitale. 2023-04-30. Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of $\varrho$-Minkowski. https://arxiv.org/abs/2305.00526

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