Courant Algebroids. A Short History
Yvette Kosmann-Schwarzbach
TL;DR
This paper provides a historical overview of Courant algebroids, tracing their development from the geometric interpretation of Dirac brackets to their role as doubles of Lie bialgebroids.
Contribution
It offers a concise history of the conceptual evolution and foundational ideas behind Courant algebroids in differential geometry.
Findings
Courant brackets originated from Dirac's constrained brackets
Courant algebroids serve as doubles for Lie bialgebroids
Historical development clarified key geometric interpretations
Abstract
The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a "double" for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concepts.
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