TL;DR
This paper reviews the origins and key properties of fundamental bracket operations in differential geometry and mathematical physics, covering both classical and supergeometric contexts, and introduces new concepts and examples.
Contribution
It provides a comprehensive review of bracket operations with added new concepts and examples in the context of differential geometry and supergeometry.
Findings
Clarifies the origins of key brackets in geometry and physics
Introduces new concepts and examples in the study of brackets
Bridges classical and supergeometric frameworks
Abstract
We review origins and main properties of the most important bracket operations appearing canonically in differential geometry and mathematical physics in the classical, as well as the supergeometric setting. The review is supplemented by a few new concepts and examples.
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