Classification of linear representations of the Galilei, Poincaré, and conformal algebras in the case of a two-dimensional vector field and their applications
AbstractWe 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.
How to Cite
Blazhko, L. M., T. O. Zhadan, and N. I. Serov. “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.