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<p>In this paper, we explore non-abelian extensions of relative Rota–Baxter Lie algebras and classify non-abelian extensions by introducing the non-abelian 2-cohomology groups. We further study the inducibility of a pair of automorphisms about non-abelian extensions 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.</p>

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Non-abelian extensions of relative Rota–Baxter Lie algebras and Wells type exact sequences

  • 期刊论文

  • 发表日期：

    2026年7月14日

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  • Qinxiu Sun,
  • QianWen Zhu

摘要

In this paper, we explore non-abelian extensions of relative Rota–Baxter Lie algebras and classify non-abelian extensions by introducing the non-abelian 2-cohomology groups. We further study the inducibility of a pair of automorphisms about non-abelian extensions 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.