A canonical basis of a pair of compatible Poisson brackets on a matrix algebra

DOI10.1070/SM9282zbMath1495.17032OpenAlexW3016918574MaRDI QIDQ5122433

A. A. Garazha

Publication date: 22 September 2020

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9282

zbMATH Keywords

bi-Hamiltonian systemsargument shift methodJordan-Kronecker invariants

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Poisson algebras (17B63)

Related Items

On a canonical basis of a pair of compatible Poisson brackets on a symplectic Lie algebra ⋮ Unnamed Item

Cites Work

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• Jordan-Kronecker invariants of finite-dimensional Lie algebras
• Quantization of the shift of argument subalgebras in type \(A\)
• Parametrisierung von Konjugationsklassen in \(\mathfrak sl_n\)
• An elementary proof of the Jordan-Kronecker theorem
• EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS
• Quantisation and nilpotent limits of Mishchenko–Fomenko subalgebras
• Lie Group Representations on Polynomial Rings