Geodesic
Maximal commutative subalgebras of functions on spaces dual to Lie algebras
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 31-36

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The problem of searching the maximal commutative sets of polynomial functions on the dual space to the semidirect sum of a Lie algebra and a vector space is studied. It is proved that if the first component of the semidirect sum is a compact algebra, then the set of functions can be described explicitly. This result is applied to some particular Lie algebras. 
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     author = {M. M. Derkach and A. S. Ten},
     title = {Maximal commutative subalgebras of functions on spaces dual to {Lie} algebras},
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M. M. Derkach; A. S. Ten. Maximal commutative subalgebras of functions on spaces dual to Lie algebras. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2011), pp. 31-36. http://geodesic.mathdoc.fr/item/VMUMM_2011_1_a5/