Introduces obstruction classes in cohomology for inner post-Lie algebras and post-groups and proves they are induced by Rota-Baxter operators precisely when the class is trivial.
Gubarev, Universal Enveloping Lie Rota-Baxter Algebras of Pre-Lie and Post-Lie Algebras,Algebra and Logic, (1)58(2019), 3–21
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Inner post-Lie algebras and inner post-groups
Introduces obstruction classes in cohomology for inner post-Lie algebras and post-groups and proves they are induced by Rota-Baxter operators precisely when the class is trivial.