Transformation Groups on Real Plane and their Differential Invariants

Details Transformation Groups on Real Plane and their Differential Invariants Transformation Groups on Real Plane and their Differential Invariants

2005-12-12

arxiv.org/abs/math-ph/0512038v2

Int. J. Math. Math. Sci. 2006, 17410, 17 pp.

Physics

Mathematical Physics

15 pages, essentialy extended and corrected version

Scientific paper

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.

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