Euler equations on finite dimensional Lie algebras arising in physical problems

@article{Bogoyavlensky1984EulerEO,
  title={Euler equations on finite dimensional Lie algebras arising in physical problems},
  author={Oleg I. Bogoyavlensky},
  journal={Communications in Mathematical Physics},
  year={1984},
  volume={95},
  pages={307-315}
}
Real physical problems are presented in which Euler equations on Lie algebras of arbitrarily high finite dimension arise. A new integrable case of rotation of a magnetized rigid body in constant gravitational and magnetic fields is found. It generalizes the Kowalewski classical integrable case. 

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