Particle-like structure of Lie algebras

DOI10.1063/1.4991657zbMath1422.17008arXiv1707.05717OpenAlexW3100464961MaRDI QIDQ5354880

Alexandre M. Vinogradov

Publication date: 5 September 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05717

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system ⋮ Automatic determination of optimal systems of Lie subalgebras: The package SymboLie ⋮ Lagrangians, gauge functions, and Lie groups for semigroup of second-order differential equations ⋮ Alexandre Mikhailovich Vinogradov ⋮ Particle-like structure of coaxial Lie algebras

Cites Work

• The local structure of Poisson manifolds
• The Bianchi variety
• Extensions of the Poisson bracket to differential forms and multi-vector fields
• The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds
• Graded multiple analogs of Lie algebras
• On Lie \(k\)-algebras
• Poisson manifolds, Lie algebroids, modular classes: a survey
• Particle-like structure of coaxial Lie algebras
• A simple model of the integrable Hamiltonian equation
• Smooth Manifolds and Observables
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Particle-like structure of Lie algebras