BOLSINOV, A.V., 2014. Some remarks about Mishchenko-Fomenko subalgebras. arXiv:1405.1710 [math.RT]
We discuss and compare two different approaches to the notion of Mishchenko--Fomenko subalgebras in Poisson-Lie algebras of finite-dimensional Lie algebras. One of them, commonly accepted by the algebraic community, uses polynomial Ad* -invariants. The other is based on formal Ad* -invariants and allows one to deal with arbitrary Lie algebras, not necessarily algebraic. In this sense, the latter is more universal.
This pre-print was submitted to arXiv on 7th May 2014.