Universal expansion of the powers of a derivation |
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Authors: | M. Ginocchio |
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Affiliation: | (1) Laboratoire de Physique Theorique et Mathematique, Université Paris VII, Tour Centrale - 3è étage, 2, place Jussieu, 75251 Paris Cedex 05, France |
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Abstract: | We give the expansion of the powers of the Lie operator = i i in any dimension, where 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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Keywords: | 05A15 06A99 34L99 35K22 47H20 68R05 |
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