Regular Hom–Lie structures on strictly upper triangular matrix Lie algebras

DOI10.1142/S0219498822500815zbMath1502.17017OpenAlexW3115376054WikidataQ115245576 ScholiaQ115245576MaRDI QIDQ5065671

Yalong Yu, Zhengxin Chen

Publication date: 22 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500815

zbMATH Keywords

Borel subalgebrassimple Lie algebrasHom-structuresextremal inner automorphisms

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Hom-Lie and related algebras (17B61)

Related Items (1)

Regular Hom-Lie structures on incidence algebras

Cites Work

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• Hom-structures on semi-simple Lie algebras
• Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
• Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space
• Hom-Lie structures on Kac-Moody algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-structures on simple graded Lie algebras of finite growth
• Regular Hom-Lie structures on Borel subalgebras of finite-dimensional simple Lie algebras

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