Poisson structure on the invariants of pairs of matrices

DOI10.1007/978-3-031-32707-0_9OpenAlexW4385354779MaRDI QIDQ6200500

Rustam Turdibaev

Publication date: 22 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-32707-0_9

zbMATH Keywords

matrix invariantsCalogero-Moser spacenecklace Lie algebracoefficients of the characteristic polynomial

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

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• Necklace Lie algebras and noncommutative symplectic geometry.
• Collisions of Calogero-Moser particles and an adelic Grassmannian (with an appendix by I. G. Macdonald)
• The invariant theory of \(n\times n\) matrices
• Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism.
• The ring of invariants of pairs of \(3 \times 3\) matrices
• Defining relations of invariants of two \(3\times 3\) matrices.
• The ring of invariants of matrices
• Eine Kennzeichnung Von Charakteren Auf Gruppen Und Assoziativen Algebren
• Poisson algebra structure on the invariants of pairs of matrices of degree three
• Non-commutative symplectic geometry, quiver varieties, and operads
• The structure of the invariant ring of two matrices of degree 3

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