nLab Johannes Huebschmann

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Selected writings

On the history of higher homotopies in the definition of higher structures (higher algebra/brave new algebra: $A_\infty$ algebras, $E_\infty$-algebras and $L_\infty$-algebras):

• Johannes Huebschmann: Origins and breadth of the theory of higher homotopies in: Higher Structures in Geometry and Physics – In Honor of Murray Gerstenhaber and Jim Stasheff, Progress in Mathematics 287, Birkhäuser (2001) 25-38 [arXiv:0710.2645, doi:10.1007/978-0-8176-4735-3]

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

• Johannes Huebschmann, On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras [arXiv:2208.02539]

On crossed modules of groups:

• Johannes Huebschmann: Crossed modules, Notices Amer. Math. Soc. 70 (2023) 1802-1813 [arXiv:2403.15900, doi:10.1090/noti2831, pdf, full issue: pdf]

Related entries

• Lie-Rinehart pair

• identity among the relations

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