Geodesic
Uniqueness of liftings of maximal commutative subalgebras of the~Poisson--Lie
Sbornik. Mathematics, Tome 194 (2003) no. 7, pp. 1105-1111

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It is proved that each generalized Mishchenko–Fomenko subalgebra of the Poisson algebra of the Lie algebra ${{\mathfrak{gl}}_n({\mathbb C})}$ can be lifted to a unique commutative subalgebra of the enveloping algebra. 
@article{SM_2003_194_7_a8,
     author = {A. A. Tarasov},
     title = {Uniqueness of  liftings of maximal commutative subalgebras of {the~Poisson--Lie}},
     journal = {Sbornik. Mathematics},
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     volume = {194},
     number = {7},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2003_194_7_a8/}
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A. A. Tarasov. Uniqueness of  liftings of maximal commutative subalgebras of the~Poisson--Lie. Sbornik. Mathematics, Tome 194 (2003) no. 7, pp. 1105-1111. http://geodesic.mathdoc.fr/item/SM_2003_194_7_a8/