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
An infinite family of differential operators is constructed. Each of these operators defines a Lie b...
In 1948, A. A. Albert introduced a new family of (nonassociative) algebras whose commutator algebras...
SIGLEAvailable from British Library Document Supply Centre-DSC:7769.08577(744) / BLDSC - British Lib...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
We point out that the dissipative force-free Duffing oscillator and Holmes-Rand nonlinear oscillator...
In this lecture course I present the idea of symmetries (of physical systems, mathematical systems, ...
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtai...
We extend Guillemin and Sternberg’s Realization Theorem for transitive Lie algebras of formal vector...
We discuss the Lie symmetry approach to homogeneous, linear, ordinary differential equations in an a...
Symmetries and Semi-invariants in the Analysis of Nonlinear Systems details the analysis of continuo...
Using a recently introduced Lie algebra associated with a nonlinear system and control theory are ob...
The problem of identifying the dynamical Lie algebras of finite-level quantum systems subject to ext...
This book provides explicit representations of finite-dimensional simple Lie algebras, related parti...
The structure theory of Lie algebras is used to classify nonlinear systems according to a Levi decom...
We study densely defined unbounded operators acting between different Hilbert spaces. For these, we ...
An infinite family of differential operators is constructed. Each of these operators defines a Lie b...
In 1948, A. A. Albert introduced a new family of (nonassociative) algebras whose commutator algebras...
SIGLEAvailable from British Library Document Supply Centre-DSC:7769.08577(744) / BLDSC - British Lib...
This project is about dynamical systems with symmetries. A dynamical system defines a vector field o...
We point out that the dissipative force-free Duffing oscillator and Holmes-Rand nonlinear oscillator...
In this lecture course I present the idea of symmetries (of physical systems, mathematical systems, ...
Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtai...
We extend Guillemin and Sternberg’s Realization Theorem for transitive Lie algebras of formal vector...
We discuss the Lie symmetry approach to homogeneous, linear, ordinary differential equations in an a...
Symmetries and Semi-invariants in the Analysis of Nonlinear Systems details the analysis of continuo...
Using a recently introduced Lie algebra associated with a nonlinear system and control theory are ob...
The problem of identifying the dynamical Lie algebras of finite-level quantum systems subject to ext...
This book provides explicit representations of finite-dimensional simple Lie algebras, related parti...
The structure theory of Lie algebras is used to classify nonlinear systems according to a Levi decom...
We study densely defined unbounded operators acting between different Hilbert spaces. For these, we ...
An infinite family of differential operators is constructed. Each of these operators defines a Lie b...
In 1948, A. A. Albert introduced a new family of (nonassociative) algebras whose commutator algebras...
SIGLEAvailable from British Library Document Supply Centre-DSC:7769.08577(744) / BLDSC - British Lib...
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