Kronecker indices of Lie algebras and invariants degrees estimate

DOI10.3103/S0027132211010050zbMath1304.17007MaRDI QIDQ2513189

A. S. Vorontsov

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Poisson algebras (17B63) Coadjoint orbits; nilpotent varieties (17B08)

Related Items (6)

Finite-dimensional integrable systems: a collection of research problems ⋮ Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials ⋮ Jordan-Kronecker invariants for semidirect sums defined by standard representation of orthogonal or symplectic Lie algebras ⋮ 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 \(\operatorname{gl} (n) + ( \mathbb{R}^n)^k\)

Cites Work

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• Bi-Hamiltonian structures and singularities of integrable systems
• Pencils of complex and real symmetric and skew matrices
• Generalized Liouville method of integration of Hamiltonian systems
• Liouville integrability of Hamiltonian systems on Lie algebras
• COMPATIBLE POISSON BRACKETS ON LIE ALGEBRAS AND COMPLETENESS OF FAMILIES OF FUNCTIONS IN INVOLUTION
• Kronecker webs, bihamiltonian structures, and the method of argument translation

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