Some remarks about Mishchenko-Fomenko subalgebras

JOURNAL OF ALGEBRA

卷:483

Article

Bolsinov, Alexey^1,2 

[1] Loughborough Univ Technol, Dept Math Sci, Loughborough LE11 3TU, Leics, England

[2] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

关键词: Lie algebra;    Coadjoint representation;    Poisson bracket;    Mishchenko-Fomenko algebras;   

DOI  :  10.1016/j.jalgebra.2017.03.032

来源: Elsevier

【 摘 要 】

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. (C) 2017 Published by Elsevier Inc.

【 授权许可】

Free