de Sitter Relativity Group

Abstract

Building upon the comprehensive framework outlined in the author's recent collaborative book, this manuscript delivers a brief overview of the $1+4$-dimensional de Sitter (dS${}_4$) group, its accompanying Lie algebra, and the corresponding (co-)adjoint orbits, with the latter assuming significance as potential classical elementary systems within the framework of dS${}_4$.

arXiv commentContribution to the 15th International Workshop "Lie Theory and Its Applications in Physics" (LT-15), 19-25 June 2023, Varna, Bulgaria