From Schouten to Mackenzie: notes on brackets
History and Overview
2021-06-01 v1 Differential Geometry
Rings and Algebras
Abstract
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 Fr\"olicher--Nijenhuis, then in the work of Gerstenhaber and Nijenhuis--Richardson in cohomology theory.
Cite
@article{arxiv.2105.14828,
title = {From Schouten to Mackenzie: notes on brackets},
author = {Yvette Kosmann-Schwarzbach},
journal= {arXiv preprint arXiv:2105.14828},
year = {2021}
}
Comments
To appear in the special issue of the Journal of Geometric Mechanics in memory of Kirill Mackenzie