Derivation algebras of centerless perfect Lie algebras are complete

DOI10.1016/j.jalgebra.2004.09.033zbMath1154.17303arXivmath/0511550OpenAlexW2014717567WikidataQ115351693 ScholiaQ115351693MaRDI QIDQ1772431

Yucai Su, Lin Sheng Zhu

Publication date: 18 April 2005

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

Full work available at URL: https://arxiv.org/abs/math/0511550

zbMATH Keywords

derivationcomplete Lie algebraholomorph of Lie algebra

Mathematics Subject Classification ID

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

Related Items (12)

On semicomplete Lie algebras ⋮ On special subalgebras of derivations of Lie algebras ⋮ Structure of sympathetic 3-Lie algebras ⋮ Finite-dimensional nilpotent Lie algebras with central derivations of nonminimal dimensions ⋮ Representations of the Derivation Algebra of the Localization of the Quantum Plane atq = −1 ⋮ SEMI-COMPLETE CROSSED MODULES OF LIE ALGEBRAS ⋮ Galois groups and group actions on Lie algebras ⋮ Derivation rings of Lie rings ⋮ Derivation subalgebras of Lie algebras ⋮ The derivation Lie algebra of the higher rank Virasoro-like algebra and its automorphism groups ⋮ Structure of sympathetic Lie superalgebras ⋮ Triple Homomorphisms of Perfect Lie Algebras

Cites Work

• Complete Lie algebras with maximal-rank nilpotent radicals
• On Lie algebras with only inner derivations
• Structure of perfect Lie algebras without center and outer derivations
• Some complete Lie algebras
• On the construction of complete Lie algebras
• Derivations of Lie algebras. III
• Some results on complete lie algebras^*
• Complete lie algebras and heisenberg algebras^*
• Solvable complete lie algebras. I^∗
• Outer Derivations of Lie Algebras
• A Theory of Subinvariant Lie Algebras
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