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Ukrainian Mathematical Journal

, Volume 58, Issue 8, pp 1275–1297 | Cite as

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

  • M. I. Serov
  • T. O. Zhadan
  • L. M. Blazhko
Article

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.

Keywords

Linear Representation Arbitrary Constant Symmetry Property Equivalence Transformation Projective Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • M. I. Serov
    • 1
  • T. O. Zhadan
    • 1
  • L. M. Blazhko
    • 1
  1. 1.Poltava State Technical UniversityPoltava

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