Title :

On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras

Author(s) :

Huebschmann, Johannes [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Journal of Geometric Mechanics

Pages :

385

Publisher :

American Institute of Mathematical Sciences (AIMS)

Publication date :

2021

ISSN :

1941-4889

English keyword(s) :

Graded Lie algebra
crossed module
obstruction to nonabelian extension
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

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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, ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL