Transformation Groups on Real Plane and their Differential Invariants

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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

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Mathematical Physics, Classical Analysis and ODEs, Exactly Solvable and Integrable Systems, 34C14, 16W22, 22E99, 58D19

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http://salesiana.dossiersoluciones.com/handle/123456789/106004

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0512038
 http://arxiv.org/abs/math-ph/0512038
 Int. J. Math. Math. Sci. 2006, 17410, 17 pp.

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arXiv