Jordan-Kronecker invariants for semidirect sums defined by standard representation of orthogonal or symplectic Lie algebras
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Publication:1703323
DOI10.1134/S1995080217060142zbMath1427.17010OpenAlexW2770493046MaRDI QIDQ1703323
Publication date: 2 March 2018
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1995080217060142
Applications of Lie algebras and superalgebras to integrable systems (17B80) Coadjoint orbits; nilpotent varieties (17B08)
Related Items (2)
Open problems, questions and challenges in finite- dimensional integrable systems ⋮ 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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- Open problems in the theory of finite-dimensional integrable systems and related fields
- Pencils of complex and real symmetric and skew matrices
- 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
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