Abstract
We introduce the general structures of Lie-admissible algebras in the spaces of Gâteaux differentiable operators and establish their connection with the symmetries of operator equations and the mechanics of infinite-dimensional systems.
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Russian Text © The Author(s), 2019, published in Sibirskii Matematicheskii Zhurnal, 2019, Vol. 60, No. 3, pp. 655–663.
The authors were supported by the RUDN Program 5-100 and the Russian Foundation for Basic Research (Grants 16-08-00558a, 16-01-00450a, and 19-08-00261a).
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Savchin, V.M., Budochkina, S.A. Lie-Admissible Algebras Associated with Dynamical Systems. Sib Math J 60, 508–515 (2019). https://doi.org/10.1134/S0037446619030133
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DOI: https://doi.org/10.1134/S0037446619030133