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pre-Lie algebra

possibly non-associative algebra in which the associator is invariant under the exchange of the two latter arguments, which implies that the commutator obeys the Jacobi identity
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pre-Lie algebra

Summary

Key Facts

  • pre-Lie algebra is a type of mathematical structure[1].

Body

Definition and Type

pre-Lie algebra is a type of mathematical structure[1].

References

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Direct Wikidata claims

  1. [1] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). pre-Lie algebra. Retrieved May 7, 2026, from https://4ort.xyz/entity/pre-lie-algebra
MLA “pre-Lie algebra.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/pre-lie-algebra.
BibTeX @misc{4ortxyz_pre-lie-algebra_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{pre-Lie algebra}}, year = {2026}, url = {https://4ort.xyz/entity/pre-lie-algebra}, note = {Accessed: 2026-05-07}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7d ago · Charp238 · 2026-07-11 view diff on Wikidata ↗
    In defining formula → (x\triangleleft y)\triangleleft z-x\triangleleft (y\triangleleft z)
    Wikidata description → possibly non-associative algebra in which the associator is invariant under the
    Subclass of → mathematical structure
    "/* wbsetclaim-create:2||1 */ [[Property:P7235]]: (x\triangleleft y)\triangleleft z-x\triangleleft (y\triangleleft z)"
  2. 8d ago · Charp238 · 2026-07-11 view diff on Wikidata ↗
    Imported from → —
    Microsoft academic id (discontinued) → 2780419923
    Defining formula → (x\triangleleft y)\triangleleft z-x\triangleleft (y\triangleleft z)=(x\trianglel
    Freebase id → /m/0gfjm6w
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P2534]]: (x\triangleleft y)\triangleleft z-x\triangleleft (y\triangleleft z)=(x\triangleleft z)\triangleleft y-x\triangleleft (z\triangleleft y)"
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