Resolutions of associative and Lie algebras

被引：1
作者：
Adin, R
Blanc, D
机构：
[1] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel
[2] Univ Haifa, Dept Math, IL-31905 Haifa, Israel
来源：
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2000年 / 43卷 / 01期
关键词：
resolutions; homology; Lie algebras; associative algebras; non-associative algebras; Jacobi identity; leaf-labeled tires; associahedron;
D O I：
10.4153/CMB-2000-001-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：3 / 16
页数：14
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