Brezov, Danail; Mladenova, Clementina; Mladenov, Ivaïlo A decoupled solution to the generalized Euler decomposition problem in \(\mathbb R^3\) and \(\mathbb R^{2, 1}\). (English) Zbl 1305.70013 J. Geom. Symmetry Phys. 33, 47-78 (2014). Summary: We suggest a new method, partially based on earlier works, that resolves the generalized Euler decomposition problem (about arbitrary axes) using a system of quadratic equations. The main contribution made here is that we manage to decouple this system and express the solutions independently in a compact covariant form. We apply the same technique to the Lorentz group in \(2+1\) dimensions and discuss certain complications related to the presence of isotropic directions in \(\mathbb R^{2, 1}\). Cited in 4 Documents MSC: 70E15 Free motion of a rigid body 15A75 Exterior algebra, Grassmann algebras PDF BibTeX XML Cite \textit{D. Brezov} et al., J. Geom. Symmetry Phys. 33, 47--78 (2014; Zbl 1305.70013) OpenURL