Mathematician:Marius Sophus Lie

Sophus Lie (pronounced Lee) was a 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
 * Died: 18 Feb 1899, Kristiania (now Oslo), Norway

Theorems and Definitions

 * Lie Group
 * Local Lie Group
 * Lie Algebra
 * Lie Bracket
 * Jacobi-Lie Bracket (with )
 * Lie Derivative
 * Lie Sphere Geometry
 * Lie's Third Theorem
 * Carathéodory-Jacobi-Lie Theorem (with and )

Books and Papers

 * 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 Friedrich Engel)
 * 1890: Theorie der Transformationsgruppen II (Theory of transformation groups II) (with Friedrich Engel)
 * 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 )