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VOL. 22 | 2021 On Some Structural Properties of Semidirect Sums of $\mathfrak{so}(3)$ and Abelian Lie Algebras
Rutwig Campoamor-Stursberg

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Abstract

Various structural properties of semidirect sums of the rotation Lie algebra of rank one and an Abelian algebra described in terms of real representations with at most two irreducible constituents are obtained. The stability properties of these semidirect sums are studied by means of the co- homological and the Jacobi scheme methods.

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Published: 1 January 2021
First available in Project Euclid: 2 June 2021

Digital Object Identifier: 10.7546/giq-22-2021-88-106

Rights: Copyright © 2021 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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