Mathematician:Marius Sophus Lie

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Norwegian mathematician famous for his study of continuous transformation groups.

Such objects are now called Lie groups.




  • Born: 17 Dec 1842, Nordfjordeide, Norway
  • 1873: Began research into the theory of what are now known as Lie groups
  • Died: 18 Feb 1899, Kristiania (now Oslo), Norway

Theorems and Definitions

Results named for Marius Sophus Lie can be found here.

Definitions of concepts named for Marius Sophus Lie can be found here.

Axioms named for Marius Sophus Lie can be found here.


  • 1869: Repräsentation der Imaginären der Plangeometrie
  • 1872: On a class of geometric transformations (doctoral dissertation)
  • 1891: Vorlesungen über differentialgleichungen mit bekannten infinitesimalen transformationen (Lectures on differential equations with known infinitesimal transformations) (with Georg Scheffers)
  • 1893: Vorlesungen über continuerliche Gruppen (Lectures on continuous groups) (with Georg Scheffers)
  • 1896: Geometrie der Berührungstransformationen (Geometry of contact transformations) (with Georg Scheffers)

Notable Quotes

The Theory of Differential Equations is the most important branch of modern mathematics.
-- Quoted in the preface to An Elementary Treatise on Differential Equations and their Applications by H.T.H. Piaggio ($1920$).

Also known as

Usually known as Sophus Lie.

His surname is pronounced Lee.