Jordan-Kronecker invariants of semidirect sums of the form \(\operatorname{sl} (n) + ( \mathbb{R}^n)^k\) and \(\operatorname{gl} (n) + ( \mathbb{R}^n)^k\)

DOI10.1007/s10958-021-05648-0zbMath1484.17009OpenAlexW3213545177MaRDI QIDQ2055317

K. S. Vorushilov

Publication date: 1 December 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05648-0

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Cites Work

• Unnamed Item
• Jordan-Kronecker invariants of finite-dimensional Lie algebras
• Open problems in the theory of finite-dimensional integrable systems and related fields
• Pencils of complex and real symmetric and skew matrices
• Jordan-Kronecker invariants for semidirect sums defined by standard representation of orthogonal or symplectic Lie algebras
• Finite-dimensional integrable systems: a collection of research problems
• Kronecker indices of Lie algebras and invariants degrees estimate
• Invariants of Lie algebras representable as semidirect sums with a commutative ideal
• EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS