Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771747 | Journal of Algebra | 2017 | 13 Pages |
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 Adâ-invariants. The other is based on formal Adâ-invariants and allows one to deal with arbitrary Lie algebras, not necessarily algebraic. In this sense, the latter is more universal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexey Bolsinov,