Transformation Groups on Real Plane and their Differential Invariants
classification
🧮 math-ph
math.CAmath.MPnlin.SI
keywords
planerealdifferentialgroupsinvariantstransformationactingalgebras
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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.
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