nLab symmetry




A symmetry is (in most classical situations) invariance under a group action, or infinitesimally, invariance under a Lie algebra action. Indeed, historically the mathematical term “group” is a contraction of group of symmetries (e.g. Klein 1872). More recently,the concept of symmetry has been a popular topic of study in the Physics literature under the name of generalized symmetry.

In physics, see local symmetry, global symmetry, spontaneous symmetry breaking.



Historical articles

On transformation groups:

On symmetry and introducing the language of homotopy type theory for univalent foundations of mathematics:

Last revised on August 4, 2023 at 17:39:09. See the history of this page for a list of all contributions to it.