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Universal expansion of the powers of a derivation

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Abstract

We give the expansion of the powers of the Lie operator Δ = Σλ i i in any dimension, whereλ is either a smooth function or a formal power series over an infinite set of commutatives indeterminates. We describe an algorithm for computer treatment and we give, as an example, a table for the orders 1 to 6.

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Ginocchio, M. Universal expansion of the powers of a derivation. Lett Math Phys 34, 343–364 (1995). https://doi.org/10.1007/BF00750066

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  • DOI: https://doi.org/10.1007/BF00750066

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