On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\)
From MaRDI portal
Publication:529636
DOI10.1007/s00220-016-2768-7zbMath1383.37044OpenAlexW2538553719MaRDI QIDQ529636
Publication date: 19 May 2017
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-016-2768-7
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An algebraic slice in the coadjoint space of the Borel and the Coxeter element
- What is a classical r-matrix?
- Toda lattice hierarchy. I
- The QR algorithm and scattering for the finite nonperiodic Toda lattice
- The solution to a generalized Toda lattice and representation theory
- Two-dimensional generalized Toda lattice
- The spectrum of difference operators and algebraic curves
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- Newton polyhedra and the genus of complete intersections
- Intrinsicness of the Newton polygon for smooth curves on \({\mathbb {P}}^1\times {\mathbb {P}}^1\)
- Quantum cohomology of flag manifolds and Toda lattices
- Affine slice for the coadjoint action of a class of biparabolic subalgebras of a semisimple Lie algebra
- Integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\)
- Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows
- Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
- Matrix factorizations and integrable systems
- The integrability of the periodic Full Kostant-Toda on a simple Lie algebra
- Linearizing Flows and a Cohomological Interpretation of Lax Equations
- The toda flow on a generic orbit is integrable
- ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
- The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
- Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
- Introduction to Classical Integrable Systems
- On the Toda Lattice. II: Inverse-Scattering Solution
- The Toda lattice. II. Existence of integrals
- Lie Group Representations on Polynomial Rings
- The Newton polygon of plane curves with many rational points
- Absolute irreducibility of polynomials via Newton polytopes
This page was built for publication: On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level \(k\)