Poisson algebra structure on the invariants of pairs of matrices of degree three

DOI10.1142/S0219498823500652OpenAlexW4200266433MaRDI QIDQ5880499

Zafar Normatov, Rustam Turdibaev

Publication date: 3 March 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498823500652

zbMATH Keywords

invariant theoryPoisson algebra

Mathematics Subject Classification ID

Trace rings and invariant theory (associative rings and algebras) (16R30) Poisson algebras (17B63)

Related Items (1)

Poisson structure on the invariants of pairs of matrices

Cites Work

• Necklace Lie algebras and noncommutative symplectic geometry.
• Calogero-Moser systems and representation theory
• Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
• The invariant theory of \(n\times n\) matrices
• Defining relations of invariants of two \(3\times 3\) matrices.
• The ring of invariants of matrices
• Non-commutative symplectic geometry, quiver varieties, and operads
• The structure of the invariant ring of two matrices of degree 3

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