Sophus Lie
From Biocrawler, the free encyclopedia.
Marius Sophus Lie (December 17, 1842 - February 18, 1899) was a Norwegian-born mathematician who largely created the theory of continuous symmetry, and applied it to the study of geometric structures and differential equations. Lie's principal tool, and one of his greatest achievements, was the discovery that continuous transformation groups (now called Lie groups) could be better understood by "linearizing" them, and studying the corresponding generating vector fields (the so-called infinitesimal generators). The generators obey a linearized version of the group law called the commutator bracket, and have the structure of what we today, in honour of Lie, call a Lie algebra.
External link
- Biography (http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Lie.html) at the MacTutor archive
es:Sophus Lie no:Sophus Lie pl:Marius Sophus Lie sl:Marius Sophus Lie sv:Marius Sophus Lie zh:索菲斯李
Categories: 1842 births | 1899 deaths | 19th century mathematicians | Norwegian mathematicians | Group theorists | Mathematician stubs | Norwegian people stubs
