Mathematician:Marius Sophus Lie

Mathematician
Norwegian mathematician famous for his study of continuous transformation groups.

Such objects are now called Lie groups.

Nationality
Norwegian

History

 * 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

 * Lie Algebra
 * Lie Bracket
 * Lie Derivative
 * Lie Group
 * Local Lie Group
 * Lie Sphere Geometry
 * Lie Theory


 * Jacobi-Lie Bracket (with )


 * Lie's Third Theorem


 * Carathéodory-Jacobi-Lie Theorem (with and )

Publications

 * 1869: Repräsentation der Imaginären der Plangeometrie
 * 1872: On a class of geometric transformations (doctoral dissertation)
 * 1888: Theorie der Transformationsgruppen I (Theory of transformation groups I) (with )
 * 1890: Theorie der Transformationsgruppen II (Theory of transformation groups II) (with )
 * 1891: Vorlesungen über differentialgleichungen mit bekannten infinitesimalen transformationen (Lectures on differential equations with known infinitesimal transformations) (with )
 * 1893: Vorlesungen über continuerliche Gruppen (Lectures on continuous groups) (with )
 * 1893: Theorie der Transformationsgruppen III (Theory of transformation groups III) (with )
 * 1896: Geometrie der Berührungstransformationen (Geometry of contact transformations) (with )

Notable Quotes

 * The Theory of Differential Equations is the most important branch of modern mathematics.


 * -- Quoted in the preface to by  ($1920$).

Also known as
Usually known as Sophus Lie.

His surname is pronounced Lee.