V. M. Savchin, S. A. Budochkina, “Lie-admissible algebras associated with dynamical systems”, Sibirsk. Mat. Zh., 2019, Volume 60, Number 3,Pages <nobr>655

This article is cited 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.

UDC: 517.972+512.5

Received: 24.07.2017
Revised: 20.09.2018
Accepted: 19.12.2018

DOI: 10.33048/smzh.2019.60.313