On Nowicki's conjecture: a survey and a new result

Authors

LUCIO CENTRONE
ANDRE DUSHIMIRIMANA
ŞEHMUS FINDIK

DOI

10.55730/1300-0098.3228

Abstract

The goal of the paper is twofold: it aims to give an extensive set of tools and bibliography towards Nowicki's conjecture both in for polynomial algebras and in an associative setting; it establishes a new result about Nowicki's conjecture for the free metabelian Poisson algebra.

Keywords

Lie algebras, Poisson algebras, the Nowicki conjecture

First Page

1709

Last Page

1734

Recommended Citation

CENTRONE, LUCIO; DUSHIMIRIMANA, ANDRE; and FINDIK, ŞEHMUS (2022) "On Nowicki's conjecture: a survey and a new result," Turkish Journal of Mathematics: Vol. 46: No. 5, Article 7. https://doi.org/10.55730/1300-0098.3228
Available at: https://journals.tubitak.gov.tr/math/vol46/iss5/7