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

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

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.
Published
25.08.2006
How to Cite
BlazhkoL. M., ZhadanT. O., and SerovN. I. “Classification of Linear Representations of the Galilei, Poincaré, and Conformal Algebras in the Case of a Two-Dimensional Vector Field and Their Applications”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 8, Aug. 2006, pp. 1128–1145, https://umj.imath.kiev.ua/index.php/umj/article/view/3518.
Section
Research articles