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.

引用

页码：3 / 16

页数：14

共 19 条

[1] New model categories from old [J].