Geodesic
Resolutions of Associative and Lie Algebras
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 3-16

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DOI

Certain canonical resolutions are described for free associative and free Lie algebras in the category of non-associative algebras. These resolutions derive in both cases from geometric objects, which in turn reflect the combinatorics of suitable collections of leaf-labeled trees.
DOI : 10.4153/CMB-2000-001-6
Mots-clés : 18G10, 05C05, 16S10, 17B01, 17A50, 18G50, resolutions, homology, Lie algebras, associative algebras, non-associative algebras, Jacobi identity, leaf-labeled trees, associahedron 
Adin, Ron; Blanc, David. Resolutions of Associative and Lie Algebras. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 3-16. doi: 10.4153/CMB-2000-001-6
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     title = {Resolutions of {Associative} and {Lie} {Algebras}},
     journal = {Canadian mathematical bulletin},
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     year = {2000},
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     number = {1},
     doi = {10.4153/CMB-2000-001-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-001-6/}
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