Differential Invariants of the 2D Conformal Lie Algebra Action
Differential Invariants of the 2D Conformal Lie Algebra Action is a scholarly work, published in 2009 in ''Acta Applicandae Mathematicae''. The main subjects of the publication include mathematics, current algebra, adjoint representation, Lie algebra, universal enveloping algebra, Witt algebra, rogue wave, algebra over a field, conformal map, affine Lie algebra, scalar, representation theory, Lie bracket of vector fields, graded Lie algebra, Lie conformal algebra, Langlands program, and pure mathematics. The authors will find all possible representations of vector fields in R^3=J^0R^2 which projects to the canonical representation and find the algebra of scalar differential invariants for each these representations of the conformal Lie algebra in J^0R^2.