Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms

DOI10.1016/j.laa.2023.04.005zbMath1530.17017arXiv2204.01060OpenAlexW4362639839MaRDI QIDQ6046082

Samir Kumar Hazra, Apurba Das, Satyendra Kumar Mishra

Publication date: 15 May 2023

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

Full work available at URL: https://arxiv.org/abs/2204.01060

zbMATH Keywords

non-abelian cohomologynon-abelian extensionsWells exact sequenceinducibility of automorphismsRota-Baxter Lie algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Deformations of associative rings (16S80) Cohomology of Lie (super)algebras (17B56) Associative rings and algebras with additional structure (16W99) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (4)

Extensions and automorphisms of Rota-Baxter groups ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Crossed modules and non-abelian extensions of Rota-Baxter Leibniz algebras ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem

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