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Non-abelian extensions of relative Rota-Baxter Lie algebras and Wells type exact sequences (2404.02752v1)
Published 3 Apr 2024 in math.RA
Abstract: In this paper, we explore non-abelian extensions of relative Rota-Baxter Lie algebras and classify the non-abelian extensions by introducing the non-abelian second cohomology group. We also study the inducibility of a pair of automorphisms about a non-abelian extension of relative Rota-Baxter Lie algebras and derive the Wells type exact sequences. Finally, we investigate the inducibility problem of pairs of derivations about an abelian extension of relative Rota-Baxter Lie algebras and give an exact sequence of Wells type.
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