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arXiv · 1405.1710

Some remarks about Mishchenko-Fomenko subalgebras

Alexey Bolsinov
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Abstract

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.

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BibTeXRIS

Alexey Bolsinov. 2014-05-07. Some remarks about Mishchenko-Fomenko subalgebras. https://arxiv.org/abs/1405.1710

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