
Institute of Mathematics, Pedagogical University of Kraków, Poland; Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine 

Department of Algebra, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the NAS of Ukraine 

November 6, 2018 at 15:05 in Lecture Room 377

Abstract of talk
In the talk we present the results concerning the relationship between the structural properties of lowdimensional (dim L ≤ 3) nonconjugate subalgebras of the Lie algebra of the Poincare group P(1,4) and the properties of the reduced equations for the eikonal equation. To obtain those results, we have performed the classification of the invariants as well as of the ansatzes for the above mentioned subalgebras. We also present some classes of invariant solutions for the eikonal equation.