Outer derivations of complex solvable Lie algebras with the nilradical of maximal rank

DOI10.29229/UZMJ.2020-4-5zbMATH Open1488.17042arXiv2001.06622OpenAlexW3001467927MaRDI QIDQ5011587

R. K. Gaybullaev

Publication date: 27 August 2021

Published in: Uzbek Mathematical Journal (Search for Journal in Brave)

Abstract: In the present paper we prove the existence outer derivations finite-dimensional solvable Lie algebras with nilradical of maximal rank and complementary subspace to nilardical of dimension less than rank of the nilradical.

Full work available at URL: https://arxiv.org/abs/2001.06622

zbMATH Keywords

Lie algebraradicalderivationnilpotent algebrasolvable algebra

Mathematics Subject Classification ID

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

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