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.
Publié le : 2005-12-12
Classification:
Mathematical Physics,
Mathematics - Classical Analysis and ODEs,
Nonlinear Sciences - Exactly Solvable and Integrable Systems,
34C14, 16W22, 22E99, 58D19
@article{0512038,
author = {Nesterenko, Maryna},
title = {Transformation Groups on Real Plane and their Differential Invariants},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0512038}
}
Nesterenko, Maryna. Transformation Groups on Real Plane and their Differential Invariants. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0512038/