Lie-Admissible Algebras Associated with Dynamical Systems
- Authors: Savchin V.M.1, Budochkina S.A.1
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University) S. M. Nikolskii Mathematical Institute
- Issue: Vol 60, No 3 (2019)
- Pages: 508-515
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172440
- DOI: https://doi.org/10.1134/S0037446619030133
- ID: 172440
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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.
About the authors
V. M. Savchin
Peoples’ Friendship University of Russia (RUDN University) S. M. Nikolskii Mathematical Institute
Author for correspondence.
Email: savchin-vm@rudn.ru
Russian Federation, Moscow
S. A. Budochkina
Peoples’ Friendship University of Russia (RUDN University) S. M. Nikolskii Mathematical Institute
Author for correspondence.
Email: budochkina-sa@rudn.ru
Russian Federation, Moscow
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