Siberian Mathematical Journal

, Volume 60, Issue 3, pp 508–515 | Cite as

Lie-Admissible Algebras Associated with Dynamical Systems

  • V. M. SavchinEmail author
  • S. A. BudochkinaEmail author


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.


Lie-admissible algebra Lie algebra \((\mathscr{S}, \mathscr{T})\)-product \(\mathscr{G}\)-commutator symmetry Gâteaux derivative recursion operator 


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© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Peoples’ Friendship University of Russia (RUDN University) S. M. Nikolskii Mathematical InstituteMoscowRussia

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