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

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...

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Bibliographic Details
Date:	2006
Main Authors:	Blazhko, L. M., Zhadan, T. O., Serov, N. I., Блажко, Л. М., Жадан, Т. О., Сєров, М. І.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2006
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3518
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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