ON THE HISTORY OF LIE BRACKETS, CROSSED MODULES, AND LIE-RINEHART ALGEBRAS

被引：6
作者：
Huebschmann, Johannes [1 ]
机构：
[1] Univ Lille Sci & Technol, CNRS, UMR 8524, Dept Math,Labex CEMPI, ANR-11-LABX-0007-01, F-59655 Villeneuve Dascq, France
来源：
JOURNAL OF GEOMETRIC MECHANICS | 2021年 / 13卷 / 03期
关键词：
crossed module; obstruction to nonabelian exten-sion; nonabelian extension of groups; nonabelian extension of Lie algebras; Lie-Rinehart algebra; Lie algebroid; differential algebra; Whitehead product; identities among relations; Teichmueller cocycle; Galois cohomology; Graded Lie algebra; GROUP EXTENSIONS; CO-HOMOLOGY; COHOMOLOGY; AUTOMORPHISMS;
D O I：
10.3934/jgm.2021009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This is an overview of ideas related to brackets in early homotopy theory, crossed modules, the obstruction 3-cocycle for the nonabelian extension problem, the Teichmu center dot ller cocycle, Lie-Rinehart algebras, Lie algebroids, and differential algebra.
引用
收藏
页码：385 / 402
页数：18
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