Open AccessFrom Schouten to Mackenzie: Notes on brackets
Author(s) -
Yvette Kosmann–Schwarzbach
Publication year - 2021
Publication title -
journal of geometric mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.511
H-Index - 17
eISSN - 1941-4897
pISSN - 1941-4889
DOI - 10.3934/jgm.2021013
Subject(s) - cohomology , style (visual arts) , differential geometry , mathematics , pure mathematics , linguistics , geometry , algebra over a field , philosophy , literature , art
In this paper, dedicated to the memory of Kirill Mackenzie, I relate the origins and early development of the theory of graded Lie brackets, first in the publications on differential geometry of Schouten, Nijenhuis, and Frölicher–Nijenhuis, then in the work of Gerstenhaber and Nijenhuis–Richardson in cohomology theory.