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We investigate the action of Schur algebra on the Lie algebras of derivationsof free Lie algebras and operad structures constructed from it. We also showthat the Lie algebra of derivations is generated by quadratic derivationstogether with the action of the Schur operad. Applications to certain subgroupsof the automorphism group of a finitely generated free group are given as well.

On Schur Algebras and Derivations of Free Lie Algebras