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

Authors: LUCIO CENTRONE, ANDRE DUSHIMIRIMANA, ŞEHMUS FINDIK

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

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