Geometry.Net - Scientists: Lie Sophus

LIE, MARIUS SOPHUS
lie, MARIUS sophus. where he graduated, taking a second class, in1850. As viceprincipal of the theological college at Cuddesdon
http://37.1911encyclopedia.org/L/LI/LIE_MARIUS_SOPHUS.htm

Extractions: See Life andLelters, by J. 0. Johnston(i904);(. W~ E. Kusselt, H. P. Liddon (1903); A. B. Donaldson, Five Great Oxford Leaders (1900), from which the life of Liddon was reprinted separately in of Gilje, 1883); Maistroem (1885), describing the gradua ruin of a Norwegian family; Et Samliv ( Life in Contnzon, 1887), describing a marriage of convenience. Two of t?ie mos successful of his novels we,re The Commbdores Daughters (1886 and Niobe (1894), l~th of which were presented to English reader in the International library, edited by Mr Gosse. In 1891189 he wrote, under the influence of the new romantic imptilsi twenty-four folk-tales, printed in two volumes entitled Trole Some of these were translated by R. N. Bain in Weird Tale (1893), illustrated by L. Housman. Among his later wtrk were the romance Naar Sol gaar ned ( When the Sun goes down, 1895), the powerful novel of Dyre Rein (1896), the fairy dram of Lindelin (I897),Fa~rte Forland (1899), a roniancewhich cot tains much which is autobiographical, When the Iron Curtal falls (1901), and The Consul (1904). His Samlede Vaerbi were published at Copenhagen in 54 vols. (19021904). JoxIl s Lie left Paris in, 1891, and, after spending a year ,in Ron~
Seminar Sophus Lie
Seminar sophus lie. Seminar sophus lie is a joint Seminar of a group of German mathematiciansinterested in the theory of lie groups and their wider horizon.
http://www.mi.uni-erlangen.de/~plaumann/lie/lie_old.html

Extractions: Seminar Sophus Lie is a joint Seminar of a group of German 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 meets once a semester since that time. Later on groups at the University of Bielefeld, the University of Clausthal, and the University of Agriculture in Wien (Vienna, Austria) joined the seminar. Meetings were held in Leipzig (winter 1990) Darmstadt (summer 1991), Erlangen (winter 1991), Greifswald (summer 1992)
Seminar Sophus Lie
Translate this page Seminar sophus lie. in Erlangen. KH Neeb P. Plaumann K. Strambach. ProgrammSeminar sophus lie, Samstag 7.12.96. Stand 26.11.96 / B. Lamprecht.
http://www.mi.uni-erlangen.de/~plaumann/lie/dez96f.html
A Problem Of Sophus Lie Revisited: When And How Can The Equation Y'' = F(x,y,y')
A3.01 A Problem of sophus lie Revisited When and How Can the Equation y''= f(x,y,y') Be Linearized? B. Kent Harrison (Brigham Young University).
http://www.eps.org/aps/BAPS4CF98/abs/S500001.html

Extractions: Room 170, TNRB B. Kent Harrison (Brigham Young University) The linearization of ordinary differential equations was a topic investigated by Sophus Lie, using group transformations. In particular, he studied the second order equation given in the title of this abstract and showed that if f(x,y,y') is a cubic in y', the equation can be linearized to the form d^2 Y/dX^2 = 0, where X and Y are some functions of x and y. He did this by assuming the latter equation and finding the conditions on X(x,y) and Y(x,y) which resulted, given the original equation, which conditions restrict the function f to be a cubic. Several authors have recently published on this problem. Given such an f,, however, this proof does not show how to find X(x,y) and Y(x,y) explicitly. This paper will explain how this can be doneat least in principleand some examples will be given, such as application to the Kepler problem for a central force power law. Differential forms are useful in the derivation. Part A of program listing
A Problem Of Sophus Lie Revisited: When And How Can The Equation Y'' = F(x,y,y')
Previous abstract Graphical version Text version Next abstract SessionA3 Theory. INVITED session, Friday afternoon, October 16 Room 170, TNRB.
http://www.eps.org/aps/BAPS4CF98/abs/G500001.html
Mostly Mathematicians / At The Sophus Lie Monument, Nordfjordeid 1992
Mostly Mathematicians. At the sophus lie monument,Nordfjordeid 1992. Previous Home Next.
http://www-math.mit.edu/~helgason/photos/math/pages/math13_jpg.htm
LIE, Marius Sophus, Theorie Der Transformations-Gruppen.
In his lectures at the Evanston Colloquium in 1893, Klein said 'To fully understandthe mathematical genius of sophus lie, one must not turn to the books
http://www.polybiblio.com/watbooks/2544.html

Extractions: W. P. Watson Antiquarian Books LIE, Marius Sophus Theorie der Transformations-Gruppen. [offprints from the Archiv för Mathematik og Naturvidenskab], Oslo, Alb. Cammermeyer, 1876-9 5 parts in one vol, 8vo (216 x 140 mm), the first two re-paginated, the last three with original journal pagination; all except the first part with original front wrapper bound in (this being plain for the second part and printed for the last three). Each wrapper inscribed 'Monsieur Halphen', i.e. Georges Henri Halphen (1844-89), in Lie's hand, bound in contemporary black half-morocco and marbled boards, spine lettered in gilt, with Halphen's manuscript list of contents at end, preserved in a slip-case. £4250 First edition of the complete papers of Lie's theory of transformation groups (now known as Lie groups), his epochal discovery of one of the most profound conceptual tools in modern mathematics and mathematical physics. This discovery was first published in these five papers (apart from a brief announcement in the Göttingen Nachrichten). Appearing in an obscure Norwegian journal, it is probable that very few offprints of these papers survive. Based on his observation that many classical methods of integrating differential equations depend on the fact that the equation is invariant under a 'continuous' family of transformations, Lie conceived around 1869 one of his most important ideas, that of differential invariants. Visiting Berlin in the winter of 1869-70, Lie met Felix Klein and the two began to work together. This continued in Paris the following summer, where excitement had been generated by the publication of Camille Jordan's Traité des substitutions, the first extended exposition of the abstract ideas of group theory put forward by Evariste Galois forty years earlier. In a letter of 1873 to his disciple Adolph Meyer, Lie dated his ideas on transformation groups from his sojourn in Paris; for his part, Klein was led to formulate in 1872 his 'Erlangen Programm' for classifying geometries in terms of the groups of transformations which leave the properties of the geometry invariant.
Lie, Marius Sophus
lie, Marius sophus (18421899). Norwegian mathematician who providedthe foundations for the science of topology in transformation
http://www.cartage.org.lb/en/themes/Biographies/MainBiographies/L/Lie/1.html

Extractions: Lie's first great discovery, made in 1870, was that of his contact transformation, which mapped straight lines with spheres and principal tangent curves into curvature lines. In his theory of tangential transformations occurs the particular transformation that makes a sphere correspond to a straight line. By 1873 Lie had begun to investigate transformation groups. In this work on group theory he chose a new space element, the contact element, which is an incidence pair of point and line or of point and hyperplane. This led him to the discovery of Lie groups, one of the basic notions of which is that of infinitesimal transformation.
Lie, Marius Sophus
Help Site Map. encyclopediaEncyclopedia lie, Marius sophus, mä'rEoos sO'fooslE Pronunciation Key. lie, Marius sophus , 184299, Norwegian mathematician.
http://www.infoplease.com/ce6/people/A0829715.html
Idw - Seminar Sophus Lie
Translate this page 1, Seminarraum A) die zehnte Sitzung des Seminars sophus lie statt, in dem sich halbjährlichMathematiker verschiedener deutscher Universitäten treffen, die
http://idw-online.de/public/pmid-447/zeige_pm.html

Extractions: Datum der Mitteilung: Absender: Jochen Brinkmann Einrichtung: Technische Universität Clausthal Kategorie: überregional Mathematik und Physik Am 7. und 8. Juli 1995 (Beginn jeweils um 9.00 Uhr) findet am Institut für Mathematik (Erzstr. 1, Seminarraum A) die zehnte Sitzung des Seminars Sophus Lie statt, in dem sich halbjährlich Mathematiker verschiedener deutscher Universitäten treffen, die auf dem Gebiet der Lie-Theorie arbeiten, um neue Entwicklungen in ihrem Fachgebiet zu diskutieren. Es werden etwa 40 auswärtige Gäste erwartet. Die Lie-Theorie, Ende des neunzehnten Jahrhunderts von dem norwegischen Mathematiker Sophus Lie begründet, beschäftigt sich mit kontinuierlichen Symmetrien, wie z.B. Rotationssymmetrien, und ihrer Nutzbarmachung zur Lösung von Gleichungen oder zur Beschreibung geometrischer Objekte. Heute ist sie ein nicht mehr wegzudenkendes Werkzeug in zahlreichen mathematischen Disziplinen und in der Physik. Es gibt aber auch Anwendungen in der Quantenchemie und in der Steuerungstheorie.
The Mathematician Sophus Lie. It Was The Audacity Of My Thinking
uniprotokolle Buchtitel The Mathematician sophus lie. It was the Audacity of MyThinking. The Mathematician sophus lie. It was the Audacity of My Thinking.
http://www.uni-protokolle.de/buecher/isbn/3540421378/

Extractions: Kommentar abgeben Kurzbeschreibung Sophus Lie (1842-1899) is without doubt one of Norways greatest scientific talents. His mathematical works have made him famous around the world no less than Niels Henrik Abel. The terms Lie groups and Lie algebra are today part of the standard mathematical vocabulary. In his comprehensive biography the author Arild Stubhaug let us come close to both the person Sophus Lie and his time. We follow him through childhood at the vicarage in Nodfjordeid, his growing up in Moss, school and studying in Christiania, travelling in Europe and his contacts with the leading mathematicians of his time. The academic and scientific career brought Lie from Christiania to Leipzig as professor, before the attempt to call him back to Norway, when she stood on the threshhold to national sovereignty, was successful. Synopsis Sophus Lie (1842-1899) was without doubt one of Norway's greatest scientific talents. His mathematical works have made him famous around the world no less than Niels Henrik Abel. The terms Lie groups and Lie algebra are today part of the standard mathematical vocabulary. In this comprehensive biography the author Arild Stubhaug lets us come close to both the person Sophus Lie and his time. We follow him through childhood at the vicarage in Nodfjordeid, his growing up in Moss, school and studying...
Fields Institute - Lie Theory Lectures
November 30 sophus lie Lecture G. Zuckerman (Yale University) Relativeintegrability of lie algebra representations. November 29
http://www.fields.utoronto.ca/programs/scientific/00-01/lie_theory/lectures.html
Fields Institute - Numerical And Computational Challenges In Science And Enginee
June 24, 2002 Lecture on Idempotent Interval Analysis and OptimizationProblems Speaker Gregory Litvinov, International sophus lie Centre.
http://www.fields.utoronto.ca/programs/scientific/01-02/numerical/lectures/
Lie Groups
lie Groups an exploration. sophus lie Dr. Williams' assignment mathematicalresearch. SUBJECT lie, sophus. Klein, Felix. Holdings
http://www.wlu.edu/~hblackme/phys100/lie/liegroups.html

Extractions: Sophus Lie Dr. Williams' assignment to use various tools to look for items about Lie groups was a very nice case-in-point of the sort of recurrent problem I was saying you'd be faced with no matter what academic or other specialties or interests you end up in. What I want to do here is follow my own process of investigating this subject (about which I knew nothing at all, beyond the supposition that the capitalization of 'Lie' meant that the groups were named after their originator/discoverer). My 'process' is certainly guided by my own past history as a searcher, which includes a familiarity with how to hunt for stuff, what to do with bits I find, and a lot of miscellaneous general knowledge. But then I've been at it [searching for stuff and educating myself] for a long time, and I enjoy the chase as much as the kill. I started at home, where I happen to have Van Nostrand's Encyclopedia (i.e., I started with what was closest, as I advised you to do), and found something to get me started: ...group which is also an analytic manifold in which the group operations, multiplication and formation of the inverse, are analytic...
TUD: Kommentar Zu: Sophus Lie (Arbeitsgemeinschaft)
Translate this page Nr. sophus lie (Arbeitsgemeinschaft), S2, Di, 16.15-17.55, 2D/417, 19.10. Neeb/Biller,Glöckner, Gräff, Hofmann (em.), Mittenhuber, Neumann, Wüstner, 04.104.4.
http://www.tu-darmstadt.de/vvws99-00/comments/04.104.html

Extractions: Themenkreis: Das Seminar behandelt jedes Semester ausgewählte Kapitel aus dem Bereich der Strukturtheorie von Lie-Gruppen und Lie-Algebren, der Darstellungstheorie von Lie-Gruppen und deren Anwendungen. Außermathematische Anwendungsgebiete: Lie-Gruppen, Lie-Algebren und die zugehörige Darstellungstheorie haben Anwendungen in zahlreichen Gebieten der Mathematik und theoretischen Physik. Typische Problemstellung: Die behandelten Probleme ergeben sich in der Regel im Zusammenhang mit aktueller Forschung in der Arbeitsgruppe. Voraussetzungen zur Teilnahme:
TUD: Kommentar Zu: AG Sophus Lie
Translate this page Nr. AG sophus lie, S2, Di, 16.15-17.55, 2D/417, 11.04. Hofmann (em.), 6,0,04.228.4. Nr. sophus lie, S2, Di, 16.15-17.55, 2D/417, 13.04. Neeb, 6,0,04.228.4.
http://www.tu-darmstadt.de/vvss00/comments/04.228.old.html

Extractions: Veranstaltung Typ Tag Zeit Raum Beginn Dozent/in CPs Lv. Nr. AG Sophus Lie Di Hofmann (em.) Der neue Kommentar zu dieser Lehrveranstaltung ist noch nicht fertiggestellt. Die Beschreibung der entsprechenden Veranstaltung vom Vorjahr finden Sie unter: Veranstaltung Typ Tag Zeit Raum Beginn Dozent/in CPs Lv. Nr. Sophus Lie Di Neeb
Biographical Dictionary: Sophus Lie
arising from partial differential equations led him to develop an extensivetheory of continuous groups of transformations, now known as lie groups.
http://acadprojwww.wlu.edu/vol4/BlackmerH/public_html/xliberty/phys100/lie/biogd

Extractions: Even as basic a tool as a biographical dictionary can be useful. The Cambridge Biographical Dictionary [REF CT103.C4] has this brief but trenchant summary: ...His study of contact transformations arising from partial differential equations led him to develop an extensive theory of continuous groups of transformations, now known as Lie groups. This theory has become a central part of 20th-century mathematics and has important applications in quantum theory. [894]
Lie, Marius Sophus
lie, Marius sophus 184299, Norwegian mathematician. He is noted lie,Marius sophus. 1842-99, Norwegian mathematician. He is noted
http://www.slider.com/enc/31000/Lie_Marius_Sophus.htm
Phoenix Music - Sophus Lie
Music Supersite For The Phoenix Metro Area And Beyond! sophus Lieis a musical project started back in 1996. To date the project
http://www.phoenixmusic.com/bands/sophus/

Extractions: Alternative Blues Digital DJ/Dance ... World Music Supersite For The Phoenix Metro Area...And Beyond! Sophus Lie is a musical project started back in 1996. To date the project has been a one man operation run by me...my name is Francisco Enrique Commans Jr....my friends call me Frankie. I chose the name Sophus Lie because it struck me as different...a name that stands out in a crowd...which is what I hope my music does...stand apart from other music...become something unique. In November of 1998 my first album was self-released. Titled "Paroxysm", it contained songs that had been written as early as 1992. There was no concept to the album...it was simply a conglomeration of songs...each one with it's own little story to tell. In April of 2000 I released my second album. The album has affectionately come to be known as "The Flags Of War". This album was my first attempt at a concept album. The concept...heartbreak...as told through the torments of war. World War II to be exact. Each song on the album has a specific image to go along with it which...as most images of war do...strikes a
Great Norwegians -- Page 2
sophus lie (18421899), mathemetician ¯¯¯¯¯, Marius sophus lie Biography from the website of the University of St. Andrews in Scotland.
http://www.mnc.net/norway/Page2.htm

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