International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 14, Article ID 17410, 17 pages
doi:10.1155/IJMMS/2006/17410
Transformation groups on real plane and their differential invariants
Maryna O. Nesterenko
Department of Applied Research, Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Street, Kyiv 4 01601, Ukraine
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.