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arXiv · 2204.09394

A group theoretic description of the $κ$-Poincaré Hopf algebra

Michele Arzano·Jerzy Kowalski-Glikman
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Abstract

It is well known in the literature that the momentum space associated to the $κ$-Poincaré algebra is described by the Lie group $\mathsf{A}\mathsf{N}(3)$. In this letter we show that the full $κ$-Poincaré Hopf algebra structure can be obtained from rather straightforward group-theoretic manipulations starting from the Iwasawa decomposition of the of the $\mathsf{SO(1,4)}$ group.

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Michele Arzano, Jerzy Kowalski-Glikman. 2022-11-01. A group theoretic description of the $κ$-Poincaré Hopf algebra. https://doi.org/10.1016/j.physletb.2022.137535

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