A note on elliptic coordinates on the Lie algebra e(3)
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🌊 nlin.SI
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coordinatesellipticalgebrabundlecasimirclebschcoincidecorresponding
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We introduce elliptic coordinates on the dual space to the Lie algebra e(3$ and discuss the separability of the Clebsch system in these variables. The proposed Darboux coordinates on e^*(3) coincide with the usual elliptic coordinates on the cotangent bundle of the two-dimensional sphere at the zero value of the corresponding Casimir function.
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