Local derivations on Solvable Lie algebras

DOI10.1080/03081087.2019.1626336zbMath1502.17015arXiv1803.06668OpenAlexW2963967419WikidataQ115299282 ScholiaQ115299282MaRDI QIDQ4992538

A. Kh. Khudoyberdiyev, Shavkat A. Ayupov

Publication date: 9 June 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06668

zbMATH Keywords

Lie algebrasolvable Lie algebraderivationnilradicallocal derivation

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Local derivations on the Witt algebra in prime characteristic, Local derivations on solvable Lie algebras of maximal rank, Local superderivations on solvable Lie and Leibniz superalgebras, Local and 2-local derivations of locally simple Lie algebras, Local derivations and automorphisms of direct sum null-filiform Leibniz algebras, \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras, Local and 2-local derivations of solvable Leibniz algebras, Local superderivations on Cartan type Lie superalgebras

Cites Work

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• 2-local automorphisms of finite-dimensional simple Lie algebras
• Classification of Lie algebras with naturally graded quasi-filiform nilradicals
• Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence
• Local derivations on finite-dimensional Lie algebras
• Local derivations
• 2-local derivations on finite-dimensional Lie algebras
• LOCAL DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS
• Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
• Local derivations on $C^*$-algebras are derivations
• Solvable Lie algebras with Heisenberg ideals
• Solvable Lie algebras with Abelian nilradicals
• Local and 2-local derivations on noncommutative Arens algebras