Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on

DOI10.1070/SM9251zbMath1501.17026OpenAlexW2984663555MaRDI QIDQ3304391

Andrey Yu. Konyaev

Publication date: 31 July 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9251

zbMATH Keywords

integrable systemsLie algebrasalgebraic Nijenhuis operatorsLie pencils, Sokolov-Odeskii operator

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (2)

Almost differentially nondegenerate Nijenhuis operators ⋮ Singularities of two-dimensional Nijenhuis operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completeness of some commutative subalgebras associated with Nijenhuis operators on Lie algebras
• Generalized Liouville method of integration of Hamiltonian systems
• Compatible Poisson brackets on Lie algebras
• Algebraic Nijenhuis operators and Kronecker Poisson pencils
• Liouville integrability of Hamiltonian systems on Lie algebras
• Integrable matrix equations related to pairs of compatible associative algebras
• COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
• EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
• On the Contraction of Groups and Their Representations

This page was built for publication: Completeness of commutative Sokolov-Odesskii subalgebras and Nijenhuis operators on