Automorphisms of sl(2) and dynamical r-matrices

DOI10.1063/1.532326zbMath0961.81026arXivsolv-int/9610003OpenAlexW2074897390MaRDI QIDQ4212651

Andreĭ Vladimirovich Tsyganov

Publication date: 6 October 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9610003

zbMATH Keywords

Yangiansloop algebrasdynamical \(r\)-matrices

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometric quantization (53D50)

Related Items (5)

The Maupertuis Principle and Canonical Transformations of the Extended Phase Space ⋮ Automorphisms of \(\text{sl}(2)\) and classical integrable systems ⋮ The Stäckel systems and algebraic curves ⋮ Noncanonical time transformations relating finite-dimensional integrable systems ⋮ Outer automorphisms of \(sl(2)\), integrable systems, and mappings

Cites Work

• The Kowalewski top: A new Lax representation
• Classical Poisson structures andr-matrices from constrained flows
• Linear r-matrix algebra for classical separable systems
• Additive deformations of the r-matrix algebras
• Stationary problems for equation of the KdV type and dynamical r-matrices

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