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arxiv: nlin/0507002 · v1 · submitted 2005-07-01 · 🌊 nlin.SI

Trigonometric Lax matrix for the Kowalevski gyrostat on so(4)

classification 🌊 nlin.SI
keywords matrixgyrostatkowalevskitrigonometricalgebraalgebrasauxiliaryclassical
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We present trigonometric Lax matrix and classical $r$-matrix for the Kowalevski gyrostat on $so(4)$ algebra by using auxiliary matrix algebras $so(3,2)$ or $sp(4)$.

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