In mathematics, a pre-Lie algebra is an algebraic structure on a vector space that describes some properties of objects such as rooted trees and vector fields on affine space. The notion of pre-Lie algebra has been introduced by Murray Gerstenhaber in his work on deformations of algebras. Pre-Lie algebras have been considered under some other names, among which one can cite left-symmetric algebras, right-symmetric algebras or Vinberg algebras.
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| - Pra-Lie-alĝebro (eo)
- Pre-Lie algebra (en)
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| - En algebro, pra-Lie-alĝebro estas ĝeneraligo de la koncepto de asocieca alĝebro, plenumanta malfortigitan aksiomon de asocieco, kies tamen plenumas la aksiomon de alĝebro de Lie. Laŭ la usona fizikisto , (eo)
- In mathematics, a pre-Lie algebra is an algebraic structure on a vector space that describes some properties of objects such as rooted trees and vector fields on affine space. The notion of pre-Lie algebra has been introduced by Murray Gerstenhaber in his work on deformations of algebras. Pre-Lie algebras have been considered under some other names, among which one can cite left-symmetric algebras, right-symmetric algebras or Vinberg algebras. (en)
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| - En algebro, pra-Lie-alĝebro estas ĝeneraligo de la koncepto de asocieca alĝebro, plenumanta malfortigitan aksiomon de asocieco, kies tamen plenumas la aksiomon de alĝebro de Lie. Laŭ la usona fizikisto , (eo)
- In mathematics, a pre-Lie algebra is an algebraic structure on a vector space that describes some properties of objects such as rooted trees and vector fields on affine space. The notion of pre-Lie algebra has been introduced by Murray Gerstenhaber in his work on deformations of algebras. Pre-Lie algebras have been considered under some other names, among which one can cite left-symmetric algebras, right-symmetric algebras or Vinberg algebras. (en)
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