Lie-Admissible Algebras Associated with Dynamical Systems


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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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