\varrho-Poincaré: bicrossproduct structure, ⋆-products and quantum Lie algebra

2024/08/19 by Scala, Luca
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2408.09837

Abstract

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 ⋆-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.

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