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

Abstract

Abstract 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.

Keywords

• Non-Commutative Geometry
• Quantum Groups
• Space-Time Symmetries