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Classical integrable systems and automorphisms of representations of \(sl(2)\) - MaRDI portal

Classical integrable systems and automorphisms of representations of \(sl(2)\) (Q5941909)

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scientific article; zbMATH DE number 1637634
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Classical integrable systems and automorphisms of representations of \(sl(2)\)
scientific article; zbMATH DE number 1637634

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    Classical integrable systems and automorphisms of representations of \(sl(2)\) (English)
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    13 December 2001
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    Outer automorphisms of infinite-dimensional representations for the Lie algebra \(sl(2)\) are used to produce some classical integrable systems with continuous and discrete time. The associated Lax matrices and \(r\)-matrix algebras are obtained. The paper under review appears as a continuation of \textit{P. P. Kulish, S. Rauch-Wojciechowski} and \textit{A. V. Tsiganov} [J. Math. Phys. 37, 3463-3482 (1996; Zbl 0863.58035)].
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    outer automorphism
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    \(sl(2)\)
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    Lax matrix
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