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Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of $\varrho$-Minkowski
- Publication Year :
- 2023
-
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.<br />Comment: 38 pages, including appendices. Minor corrections. Two references added
- Subjects :
- High Energy Physics - Theory
Mathematics - Quantum Algebra
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.00526
- Document Type :
- Working Paper