Transformation Groups on Real Plane and their Differential Invariants
Mathematical Physics
2007-05-23 v2 Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.math-ph/0512038,
title = {Transformation Groups on Real Plane and their Differential Invariants},
author = {Maryna Nesterenko},
journal= {arXiv preprint arXiv:math-ph/0512038},
year = {2007}
}
Comments
15 pages, essentialy extended and corrected version