Open Access
Translator Disclaimer
2014 A Decoupled Solution to the Generalized Euler Decomposition Problem in $\mathbb{R}^3$ and $\mathbb{R}^{2,1}$
Danail Brezov, Clementina Mladenova, Ivaïlo Mladenov
J. Geom. Symmetry Phys. 33: 47-78 (2014). DOI: 10.7546/jgsp-33-2014-47-78

Abstract

In this article we suggest a new method, partially based on earlier works of Wohlhart [15], Mladenova and Mladenov [11], Brezov et al [3], 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 $\mathbb{R}^{2,1}$.

Citation

Download Citation

Danail Brezov. Clementina Mladenova. Ivaïlo Mladenov. "A Decoupled Solution to the Generalized Euler Decomposition Problem in $\mathbb{R}^3$ and $\mathbb{R}^{2,1}$." J. Geom. Symmetry Phys. 33 47 - 78, 2014. https://doi.org/10.7546/jgsp-33-2014-47-78

Information

Published: 2014
First available in Project Euclid: 27 May 2017

zbMATH: 1305.70013
MathSciNet: MR3222638
Digital Object Identifier: 10.7546/jgsp-33-2014-47-78

Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

JOURNAL ARTICLE
32 PAGES


SHARE
Back to Top