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

DOI10.55730/1300-0098.3228OpenAlexW4285273375WikidataQ113689585 ScholiaQ113689585MaRDI QIDQ5103885

Andre Dushimirimana, Şehmus Findik, Lucio Centrone

Publication date: 9 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.04607

zbMATH Keywords

Lie algebrasPoisson algebrasNowicki conjecture

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Identities, free Lie (super)algebras (17B01) Solvable, nilpotent (super)algebras (17B30)

Cites Work

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• Weitzenböck derivations of free metabelian associative algebras
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• Generalized Nowicki conjecture
• THE CONJECTURE OF NOWICKI ON WEITZENBÖCK DERIVATIONS OF POLYNOMIAL ALGEBRAS
• A Matrix Representation for Associative Algebras. I
• The Polynomial Identities of the Grassman Algebra
• Algorithms in invariant theory

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