Construction of first-order invariant differential operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2024), pp. 37-46

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The paper considers the problem of constructing systems of vector fields that are invariant under the action of the local Lie group of transformations. It is shown that there exists a special class of Lie groups for which this problem can be solved elementarily.
Keywords: Lie algebra, invariant differential operator, left-invariant vector field, right-invariant vector field, invariant differentiation operator.
Mots-clés : Lie group
O. L. Kurnyavko; I. V. Shirokov. Construction of first-order invariant differential operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2024), pp. 37-46. http://geodesic.mathdoc.fr/item/IVM_2024_5_a3/
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