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On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras
Communications in Analysis and Mechanics ( IF 1.0 ) Pub Date : 2021-05-12 , DOI: 10.3934/jgm.2021009 Johannes Huebschmann
Communications in Analysis and Mechanics ( IF 1.0 ) Pub Date : 2021-05-12 , DOI: 10.3934/jgm.2021009 Johannes Huebschmann
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 Teichmüller cocycle, Lie-Rinehart algebras, Lie algebroids, and differential algebra.
中文翻译:
关于李括号、交叉模和李-莱因哈特代数的历史
这是与早期同伦理论中的括号、交叉模、非阿贝尔可拓问题的阻塞 3-cocycle、Teichmüller 环、Lie-Rinehart 代数、李代数和微分代数相关的思想的概述。
更新日期:2021-05-12
中文翻译:
关于李括号、交叉模和李-莱因哈特代数的历史
这是与早期同伦理论中的括号、交叉模、非阿贝尔可拓问题的阻塞 3-cocycle、Teichmüller 环、Lie-Rinehart 代数、李代数和微分代数相关的思想的概述。