1. Biographie : Lie Sophus Marius, (1842-1899) Translate this page lie sophus Marius, (1842-1899). Mathématicien norvégien (Nordfjordeid 1842 - Christiana,auj. Oslo, 1899). Lie fit ses études à l'université de Christiana. http://www.bibmath.net/bios/index.php3?action=affiche&quoi=lie

2. Sophus Lie - Wikipedia Sophus Lie. From Wikipedia, the free encyclopedia. Sophus Lie wasa Norwegianborn mathematician (1842-1899) who largely created http://www.wikipedia.org/wiki/Sophus_Lie

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Sophus Lie From Wikipedia, the free encyclopedia. Sophus Lie 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 Edit this page Discuss this page Older versions ... Recent changes It was last modified 20:48 Feb 24, 2003. All text is available under the terms of the

3. Beiträge Zur Theorie Der Differentialinvarianten Sophus Lie Translate this page Beiträge zur Theorie der Differentialinvarianten lie sophus Study EduardEngel Friedrich Tensorrechnung . Graphen und Anwendungen . http://www.publikationen-finden.de/Beitraege-zur-Theorie-der-3815420350.html

Beiträge zur Theorie der Differentialinvarianten Sophus Lie Beiträge zur Theorie der Differentialinvarianten Lie Sophus Study Eduard Engel Friedrich Die Idee der Riemannschen... Operators of Fuchs Type, ... Analytische Methoden in d... Teubner- Taschenbuch der ... ... Home

4. Journal Of Lie Theory A short history of the life and work of sophus lie, whose work, lie groups, has applications in quantum mechanics in relativity. http://www.emis.de/journals/JLT/vol.9_no.1/1.html

, Vol. 9, No. 1, pp. 1-38, 1999 Journal of Lie Theory Vol. 9, No. 1, pp. 1-38 (1999) Sophus Lie: A Sketch of his Life and Work B. Fritzsche Margaretenstr. 8 D-04315 Leipzig Germany Full text of the article: Compressed DVI file (47383 Bytes) Compressed Postscript file (31391832 Bytes) Next Article Contents of this Number

5. Sophus Lie Conference Center Seminar sophus lie The next session of the Seminar sophus lie will take place in Darmstadt on January 1011 http://www.math.uio.no/nordfjordeid/nordfjord.html

Sophus Lie Conference Center Address and telephone Norwegian version Sophus Lie Conference Center for mathematics was established through a collaboration between the mathematical departments at NTNU in Trondheim and University of Oslo and Eid kommune. During the summer this will be a meetingplace for students, teachers and researchers, with different kinds of workshops and conferences. Anybody planning such events are encouraged to contact us. You find more details on the facilities at the center here Conferences 16. -20. June 2003 Summer school in Algebraic Combinatorics Lecturers: Sergey Fomin (Michigan), Peter Orlik (Wisconsin), Volkmar Welker (Marburg) For more details see the summer school home page. Past conferences Here are Dave Bayers pictures from Nordfjordeid. Travel information Nordfjordeid - in the middle of Norway Travelling times to Nordfjordeid from Oslo Bergen Trondheim Plane 90 min. 50 min. Bus Expressboat Coastal steamer Car A good general reference for tourist and travel information in the region of Nordfjordeid is http://www.nordfjord.no/

6. Sophus Lie Konferansesenter sophus lie Konferansesenter sophus lie konferansesenter for matematikk og tilgrensande fagområde er etablert gjennom ei samarbeidsavtale mellom dei matematiske institutta ved NTNU i Trondheim og Universitetet i Oslo og Eid kommune. http://www.math.uio.no/nordfjordeid

7. Seminar "Sophus Lie" In UITO sophus lie Seminar in Tromsoe HomePage Welcome to the sophus lie seminar. at the University of Tromsoe! http://www.math.uit.no/seminar

Welcome to the Sophus Lie seminar at the University of Tromsoe! This seminar started in 1999. It is dedicated to the geometric theory of differential equations, quantization problems, noncommutative geometry and related subjects from analysis, applied mathematics, differential geometry and mathematical physics.. The seminar is named in honour of Sophus Marius Lie and we would like to present you his short biography Here is the seminar schedule . You can also get an impression of the seminar by our photo . We are always open for your questions-suggestions List of participants: Valentin Lychagin , professor, lychagin@math.uit.no Einar Mjoelhus , professor, einarm@math.uit.no Tor Flaa, professor, tor@math.uit.no Per Jakobsen , associate professor, perj@math.uit.no Boris Kruglikov , associate professor, kruglikov@math.uit.no Marius Overholt , associate professor, marius@math.uit.no Andrei Prasolov , professor, prasolov@math.uit.no Eldar Straume, professor, eldars@math.ntnu.no Olga Lychagina, post-doc, lychagin@math.uit.no

8. Marius Sophus Lie Seminar sophus lie 06. bis 08. HumboldtUniversität zu Berlin Im kommenden Wintersemester trifft sich die Arbeitsgemeinschaft "Seminar sophus lie" an der Humboldt-Universität zu Berlin. http://www.geocities.com/CapeCanaveral/Hangar/3736/lie.htm

Marius Sophus Lie Han var prestesønn, født i Eid i Nordfjord den 17. desember 1842. Familien flyttet til Moss da han var 9 år gammel, og senere gikk han på Nissens skole i Christiania. På skolen og som student var han jevnt flink i alle fag. Han var sterkt i tvil om han skulle velge å studere språk eller realfag, og da realfagene seiret, var han innom de fleste av dem, fra zoologi til astronomi. Utlånsprotokollen på Universitetsbiblioteket forteller at han i disse årene også arbeidet ganske intenst med matematikk. Ludvig Sylows forelesninger i 1862-63 om Galois-teori ble et nyttig grunnlag han bygget videre på, og enda viktigere ble skriftene til den tyske matematikeren Julius Plücker (1801-68). De innledet en drastisk nyorientering i geometrien, i retning av større abstraksjon, mer dyptgående begreper å arbeide med, frigjøring fra den to- og tredimensjonale rammen som hadde vært helt dominerende. Det ga Lie et redskap som passet godt for hans sterkt geometriske fantasi og skaperevne. Sin første matematiske avhandling, “ Repräsentation der Imaginären der Plangeometrie ”, leverte Lie inn til Vitenskapsakademiet da han var 26 år gammel. Bjerknes, som skulle vurdere den for trykking, ga etter en måned opp å begripe noe av den, og Broch kom til samme konklusjon etter to dager. Men de skjønte at den var verd å trykkes, og de sørget for at Lie fikk et stipendium for å studere i Berlin og Paris.

9. Lie, Sophus (1842-1899) -- From Eric Weisstein's World Of Scientific Biography lie, sophus (18421899), Norwegian mathematician who collaborated with FelixKlein in the investigation of continuous groups, now known as lie groups. http://scienceworld.wolfram.com/biography/Lie.html

Branch of Science Mathematicians Nationality Norwegian Lie, Sophus (1842-1899) Norwegian mathematician who collaborated with Felix Klein in the investigation of continuous groups, now known as Lie groups He wrote a ponderous three volume treatise on transformation groups (1888-1893). He also discovered a contact transformation by which a sphere can be made to correspond to a straight line. Klein (Felix) Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

10. Lie Biography of sophus lie (18421899) sophus lie's father was Johann Herman lie, a Lutheran minister. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Lie.html

Marius Sophus Lie Born: 17 Dec 1842 in Nordfjordeide, Norway Died: 18 Feb 1899 in Kristiania (now Oslo), Norway Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Sophus Lie 's father was Johann Herman Lie, a Lutheran minister. His parents had six children and Sophus was the youngest of the six. Sophus first attended school in the town of Moss, which is a port in south-eastern Norway, on the eastern side of the Oslo Fjord. In 1857 he entered Nissen's Private Latin School in Christiania (the city which became Kristiania, then Oslo in 1925) . While at this school he decided to take up a military career, but his eyesight was not sufficiently good so he gave up the idea and entered University of Christiania. At university Lie studied a broad science course. There was certainly some mathematics in this course, and Lie attended lectures by Sylow in 1862. Although not on the permanent staff, Sylow taught a course, substituting for Broch, in which he explained Abel 's and Galois ' work on algebraic equations. Lie also attended lectures by

11. Lie Marius sophus lie. sophus lie's father was Johann Herman lie, a Lutheran minister.His parents had six children and sophus was the youngest of the six. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Lie.html

Marius Sophus Lie Born: 17 Dec 1842 in Nordfjordeide, Norway Died: 18 Feb 1899 in Kristiania (now Oslo), Norway Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Sophus Lie 's father was Johann Herman Lie, a Lutheran minister. His parents had six children and Sophus was the youngest of the six. Sophus first attended school in the town of Moss, which is a port in south-eastern Norway, on the eastern side of the Oslo Fjord. In 1857 he entered Nissen's Private Latin School in Christiania (the city which became Kristiania, then Oslo in 1925) . While at this school he decided to take up a military career, but his eyesight was not sufficiently good so he gave up the idea and entered University of Christiania. At university Lie studied a broad science course. There was certainly some mathematics in this course, and Lie attended lectures by Sylow in 1862. Although not on the permanent staff, Sylow taught a course, substituting for Broch, in which he explained Abel 's and Galois ' work on algebraic equations. Lie also attended lectures by

12. Symplectic Geometry sophus lie Conference Centre, Nordfjordeid, Norway; 1115 June 2001. http://www.math.uio.no/nordfjordeid/symplectic.html

SUMMER SCHOOL SYMPLECTIC GEOMETRY 11.-15. June 2001 Sophus Lie Conference Center, Nordfjordeid, Norway Lecturers: Organizing committee: Sponsors: Participants Program: The school is particularly aimed at students in algebraic geometry. It consists of three series of lectures and exercise sessions. The first series will give the basic theory of holomorphic symplectic geometry in an algebro-geometric setting. A synopsis , with references to reading material of these lectures are available in pdf format. Huybrechts lecture notes are also available. The second one will treat Riemannian holonomy groups and calibrated geometry with a main focus on Kahler geometry and Calabi-Yau manifolds as well as special Lagrangian submanifolds. A synopsis , with references to reading material of these lectures are available in pdf format. The lectures are available in postscript The third series will treat the Calabi-Yau manifolds related to mirror symmetry. A synopsis , with references to reading material of these lectures are available in pdf format. The lectures themselves are available in postscript This summer school is organized in conjunction with the EAGER annual conference. Check the web site

13. References For Lie References for sophus lie. Biography Books M Ackerman and R Hermann,sophus lie's 1880 transformation group paper (Brookline, 1975). R http://www-gap.dcs.st-and.ac.uk/~history/References/Lie.html

References for Sophus Lie Biography in Dictionary of Scientific Biography (New York 1970-1990). Biography in Encyclopaedia Britannica. Books: M Ackerman and R Hermann, Sophus Lie's 1880 transformation group paper (Brookline, 1975). R Hermann (ed.), Lie Groups : History, Frontiers and Applications (Brookline, Mass., 1975 - ). E M Polishchuk, Sophus Lie (1842 - 1899) (Russian), Scientific-Biographic Literature, "Nauka" Leningrad. Otdel. (Leningrad, 1983). I M Yaglom, Felix Klein and Sophus Lie : evolution of the idea of symmetry in the nineteenth century (Boston, 1988). Articles: N A Baas, Sophus Lie (Czech), Pokroky Mat. Fyz. Astronom. N A Baas, Sophus Lie, Math. Intelligencer N A Baas, Sophus Lie, MIC - Modeling Identification Control H Boseck, Gedanken zur Antrittsvorlesung von S Lie in Leipzig, Wiss. Z. Greifswald. Ernst- Moritz- Arndt- Univ. Math.- Natur. Reihe H Boseck, Marius Sophus Lie und die nicht kommutative harmonische Analysis, Mitt. Math. Ges. DDR No. S-S Chern, Sophus Lie and differential geometry, in The Sophus Lie Memorial Conference, Oslo, 1992

14. Journal Of Lie Theory 9(1) Journal of lie Theory. ISSN 09495932 · Volume 9 (1999), No. 1 · ElectronicEdition. Contents. B. Fritzsche sophus lie A Sketch of his Life and Work. http://www.emis.de/journals/JLT/vol.9_no.1/

Journal of Lie Theory Contents B. Fritzsche: Sophus Lie: A Sketch of his Life and Work E. Symeonidis: On the image of a generalized $d$-plane transform on $ R ^n$ C. Santos: Foncteurs de Zuckerman pour les super algebres de Lie D. Richter: Z -Gradations of Lie algebras and infinitesimal generators L. Yu. Galitzki, D. A. Timashev: On the classification of metabelian Lie algebras A. Baklouti, J. Ludwig: Desintegration des representations monomiales des groups de Lie nilpotents D. Burde: Degenerations of nilpotent Lie algebras E. Neher: Transformation Groups of the Andersson-Perlman Cone S. Deng, Z. Hou, S. Kaneyuki, K. Nishiyama: K. Nishiyama: Schur duality for Cartan type Lie algebra $W_n$ S. Walcher: Multi-Parameter Symmetries of First Order Ordinary Differential Equations D. H. Lee: Algebraic Subgroups of Lie Groups

15. Lie, Sophus (1842-1899) -- From Eric Weisstein's World Of Scientific Biography Matematikaren sophus lie av Arild Stubhaug Det er i år 100 år sidan den verdenskjende norske matematikaren sophus lie (184299) døydde. http://www.treasure-troves.com/bios/Lie.html

Branch of Science Mathematicians Nationality Norwegian Lie, Sophus (1842-1899) Norwegian mathematician who collaborated with Felix Klein in the investigation of continuous groups, now known as Lie groups He wrote a ponderous three volume treatise on transformation groups (1888-1893). He also discovered a contact transformation by which a sphere can be made to correspond to a straight line. Klein (Felix) Additional biographies: MacTutor (St. Andrews) Author: Eric W. Weisstein

16. Seminar Sophus Lie Seminar sophus lie. The next session of the Seminar sophuslie will take place in Bielefeld in June 2003. http://www.math.tu-clausthal.de/~majhi/Seminare/SSLallg.html

Seminar Sophus Lie The next session of the Seminar Sophus Lie will take place in Bielefeld in June 2003

17. Encyclopædia Britannica MLA style lie, sophus. 2003 Encyclopædia Britannica Premium Service. Britannicastyle lie, sophus from Encyclopædia Britannica Premium Service. http://www.britannica.com/eb/article?eu=49311

18. Lie, S. 1893 Translate this page lie, sophus Leipzig 1893. (Quelle sophus lie Theorie der Transformationsgruppen.III. Abschnitt. Leipzig Teubner-Verlag 1893, Vorrede.). http://www.stiftung-teubner-leipzig.de/1893-lie-sophus.htm

Lie, Sophus: Leipzig 1893. "Ich kann nicht schließen, ohne der Verlagsbuchhandlung von B. G. Teubner zu gedenken, die sich von jeher so unschätzbare Verdienste um die mathematischen Wissenschaften erworben hat." (Quelle: Sophus Lie: Theorie der Transformationsgruppen. III. Abschnitt. Leipzig: Teubner-Verlag 1893, Vorrede.) Seite erstellt: Leipzig, © Stiftung Benedictus Gotthelf Teubner (i. G.), Leipzig, 2002.

19. "The Mathematician Sophus Lie" The mathematician sophus lie . reviewed by Sigbjørn Hervik. The mathematiciansophus lie It was the audacity of my thinking. http://plus.maths.org/issue19/reviews/book3/

PRIME NRICH PLUS Current Issue ... Subject index Issue 23: Jan 03 Issue 22: Nov 02 Issue 21: Sep 02 Issue 20: May 02 Issue 19: Mar 02 Issue 18: Jan 02 Issue 17: Nov 01 Issue 16: Sep 01 Issue 15: Jun 01 Issue 14: Mar 01 Issue 13: Jan 01 Issue 12: Sep 00 Issue 11: Jun 00 Issue 10: Jan 00 Issue 9: Sep 99 Issue 8: May 99 Issue 7: Jan 99 Issue 6: Sep 98 Issue 5: May 98 Issue 4: Jan 98 Issue 3: Sep 97 Issue 2: May 97 Issue 1: Jan 97 "The mathematician Sophus Lie" The mathematician Sophus Lie - It was the audacity of my thinking "I am certain, absolutely certain that...these theories will be recognized as fundamental at some point in the future." Sophus Lie said these words more than hundred years ago. We know now that he was right, absolutely right. The notions of "Lie groups" and "Lie algebras" are in the vocabulary of every mathematician and physicist today. Lie's theories are indispensable tools for understanding the physical laws of Nature. In this biography Arild Stubhaug tells the story of Lie's life. Born in 1842 in the western part of Norway, he enrolled at the Royal Fredrik's University of Christiania (now Oslo) in 1859. Lie was a hard-working student, to whom second or third best was a personal defeat, hardly to be endured. After graduating second in his class in 1865, he left university disappointed. He did not know what would become of him; he had not found his "calling". According to Stubhaug, in the following years Lie suffered from almost suicidal tendencies, but nevertheless decided to continue living. One way he coped with his depression was to go hiking. To him, these long hiking tours were a kind of therapy; they brought him ease and gave him back the will to live.

20. Sophus Lie - Universitetet I Oslo sophus lie Ikke bare for spesielt interesserte. sophus lies auditorium. Når NielsHenrik Abel dør i 1829, bare 26 år gammel, er sophus lie ennå ikke født. http://www.uio.no/om_uio/navn/lie.html

UiO - nettsider UiO - personer BIBSYS - forfatter BIBSYS - tittel WWW - Google Studier Studentliv Forskning For ansatte ... Henrik Wergeland Sophus Lie: Ikke bare for spesielt interesserte Sophus Lies auditorium Tekst: Ingeborg Wiese Hos disse leserne vekker Sophus Lies arbeid stor oppsikt. Professor i Leipzig Teksten er hentet fra Apollon , nr. Enhet: Informasjonsavdelingen informasjon@uio.no Dokument opprettet: 05.05.2000, endret: 24.07.2000 Kontakt UiO Hjelp

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