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- W2046524810 abstract "Let š¯”¤ be a free brace algebra. This structure implies that š¯”¤ is also a pre-Lie algebra and a Lie algebra. It is already known that š¯”¤ is a free Lie algebra. We prove here that š¯”¤ is also a free pre-Lie algebra, using a description of š¯”¤ with the help of planar rooted trees, a permutative product, and manipulations on the PoincarĆ©ā€“Hilbert series of š¯”¤." @default.
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- W2046524810 date "2010-08-31" @default.
- W2046524810 modified "2023-09-27" @default.
- W2046524810 title "Free Brace Algebras are Free Pre-Lie Algebras" @default.
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- W2046524810 doi "https://doi.org/10.1080/00927870903115000" @default.
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