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Some remarks about Mishchenko-Fomenko subalgebras

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posted on 2016-06-13, 08:58 authored by Alexey BolsinovAlexey Bolsinov
We discuss and compare two different approaches to the notionof Mishchenko–Fomenko subalgebras in Poisson–Lie algebras of finite-dimensional Lie algebras. One of them, com-monly 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 neces-sarily algebraic. In this sense, the latter is more universal.

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School

  • Science

Department

  • Mathematical Sciences

Citation

BOLSINOV, A.V., 2017. Some remarks about Mishchenko–Fomenko subalgebras. Journal of Algebra, 483 (1 August 2017), pp. 58-70.

Publisher

© Elsevier Inc.

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2017

Notes

This article was published in the Journal of Algebra [© Elsevier] and the definitive version is available at: http://dx.doi.org/10.1016/j.jalgebra.2017.03.032

Language

  • en

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