Takiff algebras, Toda systems, and jet transformations

DOI10.1016/J.JALGEBRA.2023.11.027MaRDI QIDQ6565662

Michael P. H. Lau

Publication date: 2 July 2024

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Toda systemsVinberg problemTakiff algebrastruncated current Lie algebrasjet transformations

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Cites Work

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• Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras
• Highest-weight theory for truncated current Lie algebras
• What is a classical r-matrix?
• The solution to a generalized Toda lattice and representation theory
• New integrable hierarchies from vertex operator representations of polynomial Lie algebras
• Jet schemes of the closure of nilpotent orbits
• ON CERTAIN COMMUTATIVE SUBALGEBRAS OF A UNIVERSAL ENVELOPING ALGEBRA
• Introduction to Classical Integrable Systems
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals
• Takiff superalgebras and conformal field theory
• REPRESENTATION THEORY OF W-ALGEBRAS AND HIGGS BRANCH CONJECTURE
• Casimir elements and Sugawara operators for Takiff algebras
• The complete integrability of a Lie-Poisson system proposed by Bloch and Iserles

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