Classification of linear representations of the Galilei, Poincaré, and conformal algebras in the case of a two-dimensional vector field and their applications

• Datum: 2006
• Hauptverfasser: Blazhko, L. M., Zhadan, T. O., Serov, N. I., Блажко, Л. М., Жадан, Т. О., Сєров, М. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2006
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3518
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present the classification of linear representations of the Galilei, Poincaré, and conformal algebras nonequivalent under linear transformations in the case of a two-dimensional vector field. The obtained results are applied to the investigation of the symmetry properties of systems of nonlinear...