Lie-Admissible Algebras Associated with Dynamical Systems
[摘要] 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.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学(综合)
[关键词] Lie-admissible algebra;Lie algebra;$$(\\mathscr{S};\\mathscr{T})$$(S;T)-product;$$\\mathscr{G}$$G-commutator;symmetry;Gâteaux derivative;recursion operator [时效性]