Transformation Groups on Real Plane and their Differential Invariants

Abstract

Complete sets of bases of differential invariants, operators of invariant differentiation and Lie determinants of continuous transformation groups acting on the real plane are constructed. As a necessary preliminary, realizations of finite-dimensional Lie algebras on the real plane are revisited.

15 pages, essentialy extended and corrected version

References in corpus (3)

• Difference schemes with point symmetries and their numerical tests
• Differential Invariants and Application to Riccati-Type Systems
• Deformations of Four Dimensional Lie Algebras

Cited by in corpus (1)

• Equivalence groupoids of classes of linear ordinary differential equations and their group classification