Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations
Vyacheslav M. Boyko, Oleksandra V. Lokaziuk, Roman O. Popovych
Topics & Concepts
MathematicsHomogeneous spaceLie algebraLie groupPure mathematicsInvariant (physics)Group (periodic table)Nonlinear systemAdjoint representation of a Lie algebraEquivalence (formal languages)Representation of a Lie groupAdjoint representationEquivalence class (music)Lie theoryEquivalence relationReal lineAlgebraic structureAlgebraic numberClass (philosophy)Action (physics)Lie conformal algebraSimple Lie groupAlgebra over a fieldDiscrete mathematicsFundamental vector fieldLie bracket of vector fieldsMorita equivalencePoint (geometry)Integer (computer science)Fixed pointAdditive groupLine (geometry)Algebraic propertiesCompact groupRepresentation theoryNonlinear Waves and SolitonsHomotopy and Cohomology in Algebraic TopologyAlgebraic structures and combinatorial models