Sophus Lie
From Wikipedia, the free encyclopedia
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| Born | December 17, 1842 Nordfjordeid, Norway |
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| Died | February 18, 1899 Christiania, Norway |
| Field | Mathematics |
| Alma mater | University of Christiania |
| Known for | Lie algebra |
Marius Sophus Lie (IPA pronunciation: [liː], pronounced "Lee") (December 17, 1842 - February 18, 1899) was a Norwegian-born mathematician. He largely created the theory of continuous symmetry, and applied it to the study of geometry and differential equations.
He obtained his Ph.D. at the University of Christiania in 1872, with a thesis entitled On a class of geometric transformations.
He was made Honorary Member of the London Mathematical Society in 1878 and Fellow of the Royal Society (FRS).
Lie's principal tool, and one of his greatest achievements, was the discovery that continuous transformation groups (now called after him Lie groups) could be better understood by "linearizing" them, and studying the corresponding generating vector fields (the so-called infinitesimal generators). The generators are subject to a linearized version of the group law, now called the commutator bracket, and have the structure of what is today called a Lie algebra.
[edit] See also
[edit] External links
- O'Connor, John J., and Edmund F. Robertson. "Sophus Lie". MacTutor History of Mathematics archive.
- Sophus Lie at the Mathematics Genealogy Project
- 248-dimension maths puzzle solved
| Persondata | |
|---|---|
| NAME | Lie, Marius Sophus |
| ALTERNATIVE NAMES | |
| SHORT DESCRIPTION | Norwegian mathematician |
| DATE OF BIRTH | December 17, 1842 |
| PLACE OF BIRTH | Nordfjordeid, Norway |
| DATE OF DEATH | February 18, 1899 |
| PLACE OF DEATH | Christiania, Norway |
