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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 3, Pages 655–663
DOI: https://doi.org/10.33048/smzh.2019.60.313 (Mi smj3101) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Lie-admissible algebras associated with dynamical systems

V. M. Savchin, S. A. Budochkina

Peoples' Friendship University of Russia (RUDN University) S. M. Nikolskii Mathematical Institute, Moscow, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.313
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.
Keywords: Lie-admissible algebra Lie algebra $(\mathcal{S},\mathcal{T})$-product $\mathcal{G}$-commutator symmetry Gâteaux derivative recursion operator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 16-08-00558_a
16-01-00450_a
19-08-00261_a
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).
Received: 24.07.2017
Revised: 20.09.2018
Accepted: 19.12.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 3, Pages 508–515
DOI: https://doi.org/10.1134/S0037446619030133
Bibliographic databases:
Document Type: Article
UDC: 517.972+512.5
Language: Russian
Citation: V. M. Savchin, S. A. Budochkina, “Lie-admissible algebras associated with dynamical systems”, Sibirsk. Mat. Zh., 60:3 (2019), 655–663; Siberian Math. J., 60:3 (2019), 508–515
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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