Geodesic
Euler equations on Borel subalgebras of semisimple Lie algebras
Izvestiya. Mathematics , Tome 14 (1980) no. 3, pp. 653-670

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A method connected with the translates of the invariants and semi-invariants of $\mathrm{Ad}^*$ is given for the construction of completely integrable dynamical systems on real forms of Borel subalgebras of semisimple complex Lie algebras. A reduction of the noncommutative Liouville theorem to the commutative case is thereby obtained for the indicated class of Lie algebras. Bibliography: 9 titles. 
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     author = {V. V. Trofimov},
     title = {Euler equations on {Borel} subalgebras of semisimple {Lie} algebras},
     journal = {Izvestiya. Mathematics },
     pages = {653--670},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {1980},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1980_14_3_a5/}
}
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V. V. Trofimov. Euler equations on Borel subalgebras of semisimple Lie algebras. Izvestiya. Mathematics , Tome 14 (1980) no. 3, pp. 653-670. http://geodesic.mathdoc.fr/item/IM2_1980_14_3_a5/