2017
Том 69
№ 5

All Issues

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

Blazhko L. M., Serov N. I., Zhadan T. O.

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Abstract

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 parabolic and hyperbolic equations.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 8, pp 1275-1297.

Citation Example: Blazhko L. M., Serov N. I., Zhadan T. O. Classification of linear representations of the Galilei, Poincaré, and conformal algebras in the case of a two-dimensional vector field and their applications // Ukr. Mat. Zh. - 2006. - 58, № 8. - pp. 1128–1145.

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