Lie-Admissible Algebras Associated with Dynamical Systems

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. © 2019, Pleiades Publishing, Inc.

Authors
Savchin V.M. 1 , Budochkina S.A. 1
Journal
Siberian Mathematical Journal
Issue number
3
Language
English
Pages
508-515
State
Published
Link
External link
DOI
10.1134/S0037446619030133
Volume
60
Year
2019
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University) S. M. Nikolskii Mathematical Institute, Moscow, Russian Federation
Keywords
(S,T)-product; G-commutator; Gâteaux derivative; Lie algebra; Lie-admissible algebra; recursion operator; symmetry
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