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Sophus Lie

 
Scientist: Marius Sophus Lie

Norwegian mathematician (1842–1899)

Born at Nordfjordeid in Norway, Lie was a friend of Felix Klein, whose ideas influenced him. Among Lie's most important work is his founding of the theory of continuous groups, which are now called Lie groups in his honor. Another contribution was his discovery of contact transformations. On both these subjects Lie wrote major treatises. In 1886 he became professor of mathematics at Leipzig and in 1898 he returned to Norway to take up a post that had been instituted for him at the University of Kristiania. By now, however, his health was poor and he died in Kristiania the following year. Lie also did notable work on differential geometry and on the study of differential equations.

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Columbia Encyclopedia: Marius Sophus Lie
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Lie, Marius Sophus ('rēʊs sō'fʊs lē), 1842-99, Norwegian mathematician. He is noted for his contributions to the theories of differential equations and continuous transformation groups.
Wikipedia: Sophus Lie
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Sophus Lie

Born 17 December 1842(1842-12-17)
Nordfjordeid, Norway
Died 18 February 1899 (aged 56)
Christiania, Norway
Fields Mathematics
Institutions University of Christiania, University of Leipzig
Alma mater University of Christiania
Known for Lie algebra
Notable awards Lobachevsky Medal

Marius Sophus Lie (Norwegian pronunciation: [liː] "Lee") (17 December 1842 - 18 February 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.

Contents

Biography

Sophus Lie was born in Nordfjordeid, Norway, the youngest of six children. As a young man, he intended to pursue a military career, but due to his myopia, he instead became a student at the University of Oslo.[1]

He obtained his Ph.D. at that university in 1872, with a thesis entitled On a class of geometric transformations.[2]

He was made Honorary Member of the London Mathematical Society in 1878 and Fellow of the Royal Society of London.

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.[3][4]

Sophus Lie died at the age of 56, due to pernicious anemia, a disease caused by impaired absorption of vitamin B12.[3]

Hermann Weyl used Lie's work on group theory in his papers from 1922 and 1923, and Lie's groups today play a role in both quantum physics and quantum mechanics.[4]

Seminar Sophus Lie

Seminar Sophus Lie is an international seminar of mathematicians interested in the theory of Lie groups and their wider horizon. It was founded around 1990 when, during the Volkskammer Government of the German Democratic Republic in 1989, open contact between mathematicians in East and West Germany became possible 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 informally organized the Seminar, with financial support by the Deutsche Forschungsgemeinschaft. The first meeting happened at the University of Leipzig, in January 1991. Since then, the Seminar has usually met once a semester. Over the years, the Seminar has gained participants from all over Europe.[5]

See also

Notes

  1. ^ O'Connor, JJ; Robertson, EF. "Marius Sophus Lie". http://www-history.mcs.st-andrews.ac.uk/Biographies/Lie.html. Retrieved 2009-01-23. 
  2. ^ "M. Sophus (Marius) Lie". Mathematics Genealogy Project. http://genealogy.math.ndsu.nodak.edu/id.php?id=18235. Retrieved 2009-01-23. 
  3. ^ a b Helgason, Sigurdur (1994). "Sophus Lie, the Mathematician". Proceedings of The Sophus Lie Memorial Conference, Oslo, August, 1992. Oslo: Scandinavian University Press. pp. 3–21. http://ocw.mit.edu/NR/rdonlyres/Mathematics/18-755Fall-2004/FFB7FE51-3ABA-4EF9-A0A9-CDFF32C4372C/0/helga_sopmath3_2.pdf. 
  4. ^ a b Gale, Thomson. "Marius Sophus Lie Biography". World of Mathematics. http://www.bookrags.com/biography/marius-sophus-lie-wom/. Retrieved 2009-01-23. 
  5. ^ "Seminar Sophus Lie". http://math.ubbcluj.ro/~aga_team/SophusLie/. Retrieved 2009-01-23. 

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Marie-Ennemond Camille Jordan (French mathematician)
Nikolai Ivanovich Lobachevsky (Russian history)
Group theory

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Scientist. A Dictionary of Scientists. Copyright © Market House Books Ltd 1993, 1999, 2003. All rights reserved.  Read more
Columbia Encyclopedia. The Columbia Electronic Encyclopedia, Sixth Edition Copyright © 2003, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/ Read more
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