Contents

group theory

# Contents

## Idea

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).

## References

Historical articles

• Felix Klein, Vergleichende Betrachtungen über neuere geometrische Forschungen (1872)

translation by M. W. Haskell, A comparative review of recent researches in geometry , trans. M. W. Haskell, Bull. New York Math. Soc. 2, (1892-1893), 215-249. (retyped pdf, retyped pdf, scan of original)

• Hermann Weyl, Symmetry, Journal of the Washington Academy of Sciences 28 6 (1938) 253-271 $[$jstor:24530200$]$

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

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