On elliptic coordinates on the Lie algebra $e(3)$
2006, Vol. 2, No. 3, pp. 347-352
Author(s): Tsiganov A. V.
Elliptic coordinates on the dual space to the Lie algebra $e(3)$ are introduced. On the zero level of the Casimir function, these coordinates coincide with the standard elliptic coordinates on the cotangent bundle to the two-dimensional sphere. The possibility of use of these coordinates in the theory of integrable systems is discussed.
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