Jordan-Kronecker invariants of finite-dimensional Lie algebras
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Publication:265476
DOI10.1007/s00031-015-9353-6zbMath1387.17011arXiv1211.0579OpenAlexW2130527130WikidataQ115389437 ScholiaQ115389437MaRDI QIDQ265476
F. Blanchet-Sadri, M. Dambrine
Publication date: 4 April 2016
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.0579
Related Items (17)
Jordan-Kronecker invariants of finite-dimensional Lie algebras ⋮ Flat bi-Hamiltonian structures and invariant densities ⋮ Some remarks about Mishchenko-Fomenko subalgebras ⋮ Finite-dimensional integrable systems: a collection of research problems ⋮ On a canonical basis of a pair of compatible Poisson brackets on a symplectic Lie algebra ⋮ Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties ⋮ Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials ⋮ Jordan-Kronecker invariants of singular pencils for six-dimensional real nilpotent Lie algebras ⋮ Jordan-Kronecker invariants for Lie algebras of small dimensions ⋮ Jordan-Kronecker invariants for semidirect sums defined by standard representation of orthogonal or symplectic Lie algebras ⋮ A canonical basis of a pair of compatible Poisson brackets on a matrix algebra ⋮ Unnamed Item ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Open problems in the theory of finite-dimensional integrable systems and related fields ⋮ Algebraic properties of compatible Poisson brackets ⋮ Jordan-Kronecker invariants of semidirect sums of the form \(\operatorname{sl} (n) + ( \mathbb{R}^n)^k\) and \(\operatorname{gl} (n) + ( \mathbb{R}^n)^k\) ⋮ Complete commutative subalgebras in polynomial poisson algebras: A proof of the Mischenko-Fomenko conjecture
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- Jordan-Kronecker invariants of finite-dimensional Lie algebras
- A \(C^{\infty }\)-example of bihamiltonian structure with no local decomposition into a product Kronecker-symplectic
- The index of centralizers of elements of reductive Lie algebras
- Local decomposition into a Kronecker-symplectic product of a bi-Hamiltonian structure
- Polynomiality of invariants, unimodularity and adapted pairs
- Bi-Hamiltonian structures and singularities of integrable systems
- Singularities of bi-Hamiltonian systems
- Pencils of complex and real symmetric and skew matrices
- Frobenius Lie algebras
- Der Grad erzeugender Funktionen von Invariantenringen. (The degree of generating functions of rings of invariants)
- Webs, Veronese curves, and bihamiltonian systems
- Commutative families of functions related to consistent Poisson brackets
- A degree inequality for Lie algebras with a regular Poisson semi-center
- On the coadjoint representation of \(\mathbb Z_2\)-contractions of reductive Lie algebras
- On symmetric invariants of centralisers in reductive Lie algebras
- Some remarks about Mishchenko-Fomenko subalgebras
- Algebraic Nijenhuis operators and Kronecker Poisson pencils
- One-parameter contractions of Lie-Poisson brackets
- Algebraic properties of compatible Poisson brackets
- Complete families of commuting functions for coisotropic Hamiltonian actions
- The derived algebra of a stabilizer, families of coadjoint orbits, and sheets
- Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics
- Computing with Nilpotent Orbits in Simple Lie Algebras of Exceptional Type
- Bi-Hamiltonian structures with symmetries, Lie pencils and integrable systems
- On frobenius lie algebras
- Invariants of real low dimension Lie algebras
- The index of a Lie algebra, the centralizer of a nilpotent element, and the normalizer of the centralizer
- Webs, Lenard schemes, and the local geometry of bi-Hamiltonian Toda and Lax structures
- Kronecker webs, bihamiltonian structures, and the method of argument translation
- Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials
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