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Combinatorics of pre-Lie products sharing a Lie bracket

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  • معلومة اضافية
    • الموضوع:
      2023
    • Collection:
      Mathematics
    • نبذة مختصرة :
      We study in detail the operad controlling several pre-Lie algebra structures sharing the same Lie bracket. Specifically, we show that this operad admits a combinatorial description similar to that of Chapoton and Livernet for the pre-Lie operad, and that it has many of the remarkable algebraic properties of the pre-Lie operad.
      Comment: 40 pages, 9 figures
    • الرقم المعرف:
      edsarx.2309.05552