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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.09837 |
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Table of Contents:
- We discuss the bicrossproduct structure of the quantum group $\varrho$-Poincaré and of the dual quantum universal enveloping algebra, expanding the construction to general Lie algebra-type deformations of Poincaré coming from classical $r$-matrices. We review the relation between different bases of the quantum universal enveloping algebra of $\varrho$-Poincaré and noncommutative $\star$-products defined on the $\varrho$-Minkowski spacetime, analysing some of their relevant features. Furthermore, we comment on the role of physical bases and introduce the $\varrho$-Poincaré quantum Lie algebra.