Marius Sophus Lie

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Lie, Marius Sophus

 

Born Dec. 17, 1842, in Nordfjordeide; died Feb. 18, 1899, in Christiania (Oslo). Norwegian mathematician.

In 1872, Lie was appointed a professor at the University of Christiania. From 1886 to 1898 he taught at the University of Leipzig. Lie founded the classical theory of continuous groups (called the theory of Lie groups), which was subsequently developed into a general theory of continuous groups. His first studies (1871–72) dealt with purely geometrical problems. However, by 1872 he had turned to the theory of differential equations and introduced into it the concepts and methods of n-dimensional geometry. The theory of Lie groups, which arose as a result of an attempt to introduce a common origin and to establish general viewpoints in various branches of mathematics, has exerted a profound influence on the subsequent development of the theory of differential equations, algebra, the foundations of geometry, topology, and theoretical physics. As a result of the studies of Lie and F. Klein, geometry has been reorganized on the basis of group-theoretic transformations.

WORKS

Gesammelte Abhandlungen, vols. 1–6. Leipzig, 1922–37.
References in periodicals archive ?
Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics
In the late eighteen century Sophus Lie made use of transformation groups in an effort to bring the results of Evarist Galois on polinomial equations to the differential equations theory.
La teoria de los grupos de LIE en relacion a las Ecuaciones Diferenciales Ordinarias (EDO's) tuvo su origen a finales de 1800, cuando el matematico noruego Sophus Lie logro relacionar esta area con los trabajos de Evarist Galois en la solucion de ecuaciones algebraicas.