Resolutions of Associative and Lie Algebras

Canadian mathematical bulletin

关键词: resolutions;    homology;    Lie algebras;    associative algebras;    non-associative algebras;    Jacobi identity;    leaf-labeled trees;    associahedron;   

DOI  :  10.4153/CMB-2000-001-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Certain canonical resolutions are described for free associative andfree Lie algebras in the category of non-associative algebras. Theseresolutions derive in both cases from geometric objects, which in turnreflect the combinatorics of suitable collections of leaf-labeledtrees.

【 授权许可】

Unknown