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

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

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  • Amer Inst Mathematical Sciences-Aims
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.

crossed moduleobstruction to nonabelian exten-sionnonabelian extension of groupsnonabelian extension of Lie algebrasLie-Rinehart algebraLie algebroiddifferential algebraWhitehead productidentities among relationsTeichmueller cocycleGalois cohomologyGraded Lie algebraGROUP EXTENSIONSCO-HOMOLOGYCOHOMOLOGYAUTOMORPHISMS

Huebschmann, Johannes

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Univ Lille Sci & Technol

2021

10.3934/jgm.2021009

Journal of Geometric Mechanics

Journal of Geometric Mechanics

SCI
ISSN：1941-4889
年,卷(期)：2021.13(3)
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