Transformation groups on real plane and their differential invariants

Maryna O. Nesterenko

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-17

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:017410

DOI: 10.1155/IJMMS/2006/17410

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