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Article Dans Une Revue Mathematical Proceedings of the Cambridge Philosophical Society Année : 2023

Three Schur functor of universal enveloping pre-Lie algebra

Résumé

Recent work of the first author and Tamaroff implies that the embedding of the Lie operad into the operad of pre-Lie algebras has the PBW property, and consequently, a functorial PBW type theorem holds for universal enveloping pre-Lie algebras of Lie algebras, generalising Segal's PBW theorem. We compute the corresponding Schur functor in terms of combinatorics of rooted trees.

Dates et versions

hal-02462212 , version 1 (31-01-2020)

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Vladimir Dotsenko, Oisín Flynn-Connolly. Three Schur functor of universal enveloping pre-Lie algebra. Mathematical Proceedings of the Cambridge Philosophical Society, 2023, 176 (2), pp.441-458. ⟨10.1017/S0305004123000580⟩. ⟨hal-02462212⟩
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