Representations of ω-Lie algebras and tailed derivations of Lie algebras

DOI10.1142/S021819672150017XzbMath1475.17035arXiv1910.01472WikidataQ115245885 ScholiaQ115245885MaRDI QIDQ4990001

Runxuan Zhang

Publication date: 27 May 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.01472

zbMATH Keywords

irreducible moduleindecomposable module\(\omega\)-Lie algebratailed derivation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (3)

A commutative algebra approach to multiplicative Hom-Lie algebras ⋮ Description of \(\omega\)-Lie algebras ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Classification of three-dimensional complex \(\omega\)-Lie algebras
• Deforming a Lie algebra by means of a 2-form
• Distinguished dimensions for special Riemannian geometries
• \(\omega \)-Lie algebras
• Extending structures for Lie algebras
• Simple \(\omega \)-Lie algebras and 4-dimensional \(\omega \)-Lie algebras over \(\mathbb {C}\)
• Irreducible SO(3) geometry in dimension five
• Derivations, automorphisms, and representations of complex ω-Lie algebras
• Cohomology Theory of Lie Groups and Lie Algebras

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