The structure of Lie algebras with a derivation satisfying a polynomial identity

DOI10.1080/00927872.2022.2069791OpenAlexW3085579486MaRDI QIDQ5097402

Wolfgang Alexander Moens, Dietrich Burde

Publication date: 23 August 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05434

zbMATH Keywords

derivationssimple Lie algebraspolynomial identitymodular Lie algebrasnonsingular derivationgraded structuresnilpotency index of Lie algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Modular Lie (super)algebras (17B50)

Cites Work

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• A sufficient condition for a number to be the order of a nonsingular derivation of a Lie algebra
• Finite-dimensional simple Lie algebras with a nonsingular derivation
• Periodic derivations and prederivations of Lie algebras
• The orders of nonsingular derivations of modular Lie algebras.
• Arithmetically-free group-gradings of Lie algebras. II
• The orders of nonsingular derivations of Lie algebras of characteristic two
• Resultants of Cyclotomic Polynomials
• A Note on Automorphisms and Derivations of Lie Algebras

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