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arxiv: nlin/0512054 · v2 · submitted 2005-12-20 · 🌊 nlin.SI · math-ph· math.MP

On Classical r-Matrix for the Kowalevski Gyrostat on so(4)

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

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