| Sophus Lie | |
 | |
| Born | December 17, 1842 Nordfjordeid, Norway |
|---|---|
| Died | February 18, 1899 (aged 56) Christiania, Norway |
| Fields | Mathematics |
| Alma mater | University of Christiania |
| Known for | Lie algebra |
Marius Sophus Lie (pronounced [liː], as "Lee") (December 17, 1842 - February 18, 1899) was a Norwegian-born mathematician. Events 546 - Gothic War (535–554: The Ostrogoths of King Totila Year 1842 ( MDCCCXLII) was a Common year starting on Tuesday (link will display the full calendar of the Gregorian Calendar (or a Common Nordfjordeid is the administrative capital of the municipality of Eid, in Sogn og Fjordane county western Norway. Norway ( Norwegian: Norge ( Bokmål) or Noreg ( Nynorsk) officially the Kingdom of Norway, is a Constitutional Events 3102 BC - Epoch (origin of the Kali Yuga. 1229 - The Sixth Crusade: Frederick II Holy Year 1899 ( MDCCCXCIX) was a Common year starting on Sunday (link will display the full calendar of the Gregorian calendar (or a Common (called Christiania from 1624 to 1878 and Kristiania from 1878 to 1924 is the Capital and largest city of Norway. Norway ( Norwegian: Norge ( Bokmål) or Noreg ( Nynorsk) officially the Kingdom of Norway, is a Constitutional Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and Alma mater is Latin for "nourishing mother" It was used in Ancient Rome as a title for the mother Goddess, and in Medieval The University of Oslo (Universitetet i Oslo Universitas Osloensis is the oldest and largest University in Norway, situated in the Norwegian capital In Mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable Manifolds Lie Events 546 - Gothic War (535–554: The Ostrogoths of King Totila Year 1842 ( MDCCCXLII) was a Common year starting on Tuesday (link will display the full calendar of the Gregorian Calendar (or a Common Events 3102 BC - Epoch (origin of the Kali Yuga. 1229 - The Sixth Crusade: Frederick II Holy Year 1899 ( MDCCCXCIX) was a Common year starting on Sunday (link will display the full calendar of the Gregorian calendar (or a Common Norway ( Norwegian: Norge ( Bokmål) or Noreg ( Nynorsk) officially the Kingdom of Norway, is a Constitutional A mathematician is a person whose primary area of study and research is the field of Mathematics. He largely created the theory of continuous symmetry, and applied it to the study of geometry and differential equations. In Mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some Symmetries as motions as opposed to e Geometry ( Greek γεωμετρία; geo = earth metria = measure is a part of Mathematics concerned with questions of size shape and relative position A differential equation is a mathematical Equation for an unknown function of one or several variables that relates the values of the
He obtained his Ph. D. at the University of Oslo in 1872, with a thesis entitled On a class of geometric transformations. The University of Oslo (Universitetet i Oslo Universitas Osloensis is the oldest and largest University in Norway, situated in the Norwegian capital
He was made Honorary Member of the London Mathematical Society in 1878 and Fellow of the Royal Society (FRS). The London Mathematical Society ( LMS) is the leading mathematical society in England. The Royal Society of London for the Improvement of Natural Knowledge, known simply as The Royal Society, is a Learned society for science that was founded in 1660
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). In Mathematics, a Lie group (ˈliː sounds like "Lee" is a group which is also a Differentiable manifold, with the property that the group In Mathematics, a Lie group (ˈliː sounds like "Lee" is a group which is also a Differentiable manifold, with the property that the group In Mathematics a vector field is a construction in Vector calculus which associates a vector to every point in a (locally Euclidean space. In Mathematics, a Lie group (ˈliː sounds like "Lee" is a group which is also a Differentiable manifold, with the property that the group 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. In Mathematics, a group is a set of elements together with an operation that combines any two of its elements to form a third element In Mathematics, the commutator gives an indication of the extent to which a certain Binary operation fails to be Commutative. In Mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable Manifolds Lie
However, as noted by Helgason, "to see Lie's work in perspective it is important to realize that his first mathematical love was geometry and that this attachment remained with him all his life" (Helgason 1994, p. 3). Indeed Lie himself was particularly pleased with the geometry of spheres and the line-sphere correspondence which bear his name (Helgason 1994, p. Lie sphere geometry is a geometrical theory of planar or Spatial geometry in which the fundamental concept is the Circle or Sphere 7).
Seminar Sophus Lie is an international seminar of mathematicians interested in the theory of Lie groups and their wider horizon. It was founded around 1989-90 when, during the Volkskammer Government of the German Democratic Republic in 1989, open contacts between mathematicians in East- and Westgermany became a reality for the first time since 1961. Several mathematicians located at the Technische Hochschule Darmstadt, the University of Erlangen, the University of Greifswald, and the University of Leipzig organized informally the Seminar with financial support by the Deutsche Forschungsgemeinschaft and met for the first seminar session at the University of Leipzig in January 1991. The Seminar usually meets once a semester since that time. Over the years the seminar had participants from more and more countries, e. g. Austria, France, Hungary, Poland, and Romania. Also the meeting places went beyond Germany, and by now it is a European event.
See also
References
- Helgason, Sigurdur (1994), “Sophus Lie, the Mathematician”, Proceedings of The Sophus Lie Memorial Conference, Oslo, August, 1992, Oslo: Scandinavian University Press, pp. In Mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable Manifolds Lie Lie bracket can refer to Lie algebra Lie bracket of vector fields In Mathematics, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of one Vector field along the In Mathematics, a Lie group (ˈliː sounds like "Lee" is a group which is also a Differentiable manifold, with the property that the group Lie sphere geometry is a geometrical theory of planar or Spatial geometry in which the fundamental concept is the Circle or Sphere The Carathéodory - Jacobi - Lie theorem is a Theorem in Symplectic geometry which generalizes Darboux's theorem. 3–21.
External links
- O'Connor, John J. & Robertson, Edmund F. , “Sophus Lie”, MacTutor History of Mathematics archive
- Sophus Lie at the Mathematics Genealogy Project
- Seminar Sophus Lie - Cluj-Napoca (July 4 - 6, 2008)
| 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 |
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