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Differential invariants and operators of invariant differentiation of the projectable action of Lie groups

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Abstract

We describe the relation between operators of invariant differentiation and invariant operators on orbits of Lie group actions. We propose a new effective method for finding differential invariants and operators of invariant differentiation and present examples.

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Correspondence to M. M. Goncharovskii.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 183, No. 1, pp. 202–221, May, 2015.

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Goncharovskii, M.M., Shirokov, I.V. Differential invariants and operators of invariant differentiation of the projectable action of Lie groups. Theor Math Phys 183, 619–636 (2015). https://doi.org/10.1007/s11232-015-0285-z

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  • DOI: https://doi.org/10.1007/s11232-015-0285-z

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