Integrable systems associated to the filtrations of Lie algebras
DOI10.1134/s1560354723010045zbMath1527.37059OpenAlexW4323908042MaRDI QIDQ6169677
No author found.
Publication date: 12 July 2023
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354723010045
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Poisson algebras (17B63) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integrability of geodesic flows for metrics on suborbits of the adjoint orbits of compact groups
- Integrability of invariant geodesic flows on \(n\)-symmetric spaces
- Singular Manakov flows and geodesic flows on homogeneous spaces of \(SO(N)\)
- Integrable Hamiltonian systems connected with graded Lie algebras
- Multiplicity-free spaces
- The symplectic geometry of the Gel'fand-Cetlin-Molev basis for representations of \(\text{Sp}(2n,\mathbb C)\)
- The Gelfand-Cetlin system and quantization of the complex flag manifolds
- Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups
- Multiplicity free subgroups of compact connected Lie groups
- Note on the integration of Euler's equations of the dynamics of an \(n\)-dimensional rigid body
- Generalized Liouville method of integration of Hamiltonian systems
- Complete involutive algebras of functions on cotangent bundles of homogeneous spaces
- Double quotients of Lie groups with integrable geodesic flow
- A Proof of the Mishchenko-Fomenko Conjecture (1981)
- On the completeness of the Manakov integrals
- Noncommutative integrability, moment map and geodesic flows
- Bi-Poisson structures and integrability of geodesic flow on homogeneous spaces
- Invariant Nijenhuis tensors and integrable geodesic flows
- Geodesic flows on Riemannian g.o. spaces
- Reductive subalgebras of semisimple Lie algebras and Poisson commutativity
- Geometry and integrability of Euler-Poincaré-Suslov equations
- INTEGRABLE EULER EQUATIONS ASSOCIATED WITH FILTRATIONS OF LIE ALGEBRAS
- INTEGRABILITY OF THE EULER EQUATIONS ASSOCIATED WITH FILTRATIONS OF SEMISIMPLE LIE ALGEBRAS
- CONSTRUCTION OF COMPLETELY INTEGRABLE GEODESIC FLOWS ON COMPACT SYMMETRIC SPACES
- EULER EQUATIONS ON BOREL SUBALGEBRAS OF SEMISIMPLE LIE ALGEBRAS
- Integrable geodesic flows on homogeneous spaces
- COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
- EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
- On collective complete integrability according to the method of Thimm
- Integrable geodesic flows on homogeneous spaces
- Complete commutative subalgebras in polynomial poisson algebras: A proof of the Mischenko-Fomenko conjecture
- Poisson-Commutative Subalgebras of 𝒮(𝔤) associated with Involutions
This page was built for publication: Integrable systems associated to the filtrations of Lie algebras
