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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
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.
Received: 24.07.2017 Revised: 20.09.2018 Accepted: 19.12.2018
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
Linking options:
https://www.mathnet.ru/eng/smj3101 https://www.mathnet.ru/eng/smj/v60/i3/p655
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Abstract page: | 397 | Full-text PDF : | 102 | References: | 80 | First page: | 18 |
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