Poisson–Hopf algebra deformations of Lie–Hamilton systems

A Ballesteros, R Campoamor-Stursberg… - Journal of Physics A …, 2018 - iopscience.iop.org
Hopf algebra deformations are merged with a class of Lie systems of Hamiltonian type, the
so-called Lie–Hamilton systems, to devise a novel formalism: the Poisson–Hopf algebra …

A Unified Approach to Poisson–Hopf Deformations of Lie–Hamilton Systems Based on (2)

Á Ballesteros, R Campoamor-Stursberg… - Quantum Theory And …, 2017 - Springer
Based on a recently developed procedure to construct Poisson–Hopf deformations of Lie–
Hamilton systems 9, a novel unified approach to nonequivalent deformations of Lie …

On the Algorithmic Verification of Nonlinear Superposition for Systems of First Order Ordinary Differential Equations

V Treumova, DA Lyakhov, DL Michels - arXiv preprint arXiv:2401.17012, 2024 - arxiv.org
This paper belongs to a group of work in the intersection of symbolic computation and group
analysis aiming for the symbolic analysis of differential equations. The goal is to extract …

[PDF][PDF] Узагальненi оператори Казiмiра, сингулярнi модулi редукцiї та симетрiї диференцiальних рiвнянь

ВМ Бойко - Дис.... док. фiз.-мат. наук, Iнституту математики НАН …, 2018 - imath.kiev.ua
Узагальненi оператори Казiмiра, сингулярнi модулi редукцiї та симетрiї д Page 1
Нацiональна академiя наук України Iнститут математики На правах рукопису БОЙКО …

A geometric approach to Lie systems: formalism of Poisson-Hopf algebra deformations

E Fernandez-Saiz - arXiv preprint arXiv:2101.11064, 2021 - arxiv.org
The notion of quantum algebras is merged with that of Lie systems in order to establish a
new formalism called Poisson-Hopf algebra deformations of Lie systems. The procedure can …

Reduction by invariants and projection of linear representations of Lie algebras applied to the construction of nonlinear realizations

R Campoamor-Stursberg - Journal of Mathematical Physics, 2018 - pubs.aip.org
A procedure for the construction of nonlinear realizations of Lie algebras in the context of
Vessiot–Guldberg–Lie algebras of first-order systems of ordinary differential equations …

A geometric approach to Lie systems: formalism of Poisson-Hopf deformations

E Fernandez Saiz - 2021 - docta.ucm.es
La noción de álgebras cuánticas se fusiona con la de sistemas de Lie para establecer un
nuevo formalismo, las deformaciones del álgebra de Poisson–Hopf de los sistemas de Lie …

Poisson-Hopf algebra deformations of Lie-Hamilton systems

Á Ballesteros Castañeda, R Campoamor Stursberg… - 2018 - uvadoc.uva.es
Hopf algebra deformations are merged with a class of Lie systems of Hamiltonian type, the
so-called Lie-Hamilton systems, to devise a novel formalism: the Poisson-Hopf algebra …

A unified approach to Poisson-Hopf deformations of Lie-Hamilton systems based on sl (2)

Á Ballesteros Castañeda, R Campoamor Stursberg… - 2018 - uvadoc.uva.es
Based on a recently developed procedure to construct Poisson-Hopf deformations of Lie–
Hamilton systems, a novel unified approach to nonequivalent deformations of Lie–Hamilton …