Some Structural Properties of Semidirect Sums of \(\mathfrak{so}(3)\) and Abelian Lie Algebras
-
Published:2021
Issue:
Volume:22
Page:88-106
-
ISSN:1314-3247
-
Container-title:Geometry, Integrability and Quantization
-
language:
-
Short-container-title:Geom. Integrability & Quantization
Author:
Campoamor-Stursberg Rutwig
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 cohomological and the Jacobi scheme methods.
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics