21. Matematikaren Sophus Lie Matematikaren sophus lie. av Arild Stubhaug. Det er i år 100 år sidan denverdenskjende norske matematikaren sophus lie (184299) døydde. http://www.nifu.no/Fpol/2-99/art9.html

Matematikaren Sophus Lie av Arild Stubhaug Det er i år 100 år sidan den verdenskjende norske matematikaren Sophus Lie (1842-99) døydde. Hans renommé har vakse ytterlegare i den seinare tida og 100-års-dagen for hans død blei markert både i utlandet og her heime. Forfattaren Arild Stubhaug - som skriv biografi om Sophus Lie - heldt foredrag om Lie i Det Norske Videnskaps-Akademi. Nedanfor fylgjer ein forkorta versjon av dette. Sophus Lie blei født i Nordfjordeid. Faren var ein respektert prest og ein dyktig pedagog med særleg interesse for undervisning og folkeopplysning. Mora blei omtalt som generøs og omsorgsfull. Ni år gamal flytta familien til Moss. Men alt året etter døyde fru Lie. Etter nokre år ved Moss borgerlige Realskole, blei Sophus 15 år gamal sendt til Nissens Latin- og Realskole i Christiania. Denne skulen var blitt stifta av Hartvig Nissen og hans ven matematikaren Ole Jacob Broch for å gi større rom for moderne språk og naturvitskap enn i dei veletablerte latinskulane. Og på den tida Sophus Lie kom hit, var Nissens skule blitt ein formidabel suksess. Lie hamna mellom «nasjonale strategar», og midt i ein skulepolitisk reformprosess. Undervisningssystemet var noko Lie sidan òg interesserte seg for. Han var særleg opptatt av realfagas stilling, og framheva universitetet som ein nødvendig vitskapeleg spydspiss. Allsidig student Han avla ein svært god artium - og begynte ved Universitetet. Her tok han eksamen i den obligatoriske anneneksamen som ein av dei to beste. Allsidigheten gjorde det vanskeleg å velje studieretning. Når han valde realfag, skuldast nok det fleire forhold, m.a. at eldste broren studerte dette faget.

22. Lie Algebra - Wikipedia A lie algebra (pronounced as lee , named in honor of sophus lie) is an algebraicstructure in mathematics whose main use lies in studying geometric objects http://www.wikipedia.org/wiki/Lie_algebra

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 Lie algebra From Wikipedia, the free encyclopedia. A Lie algebra (pronounced as "lee", named in honor of Sophus Lie ) is an algebraic structure in mathematics whose main use lies in studying geometric objects such as Lie groups and differentiable manifolds Definition A Lie algebra is a vector space g over some field F (typically the real or complex numbers) together with a binary operation g g g , called the Lie bracket , which satisfies the following properties: it is bilinear , i.e., [ a x b y z a x z b y z ] and [ z a x b y a z x b z y ] for all a b in F and all x y z in g it satisfies the Jacobi identity , i.e., [[

23. Apollon:«Abel Og Lie ... Hvem Var De?» Utdrag fra Arild Stubhaugs liebiografi Det var mine tankers djervhet. Kåseri av Arild Stubhaug om Category World Norsk Vitenskap Matematikk Matematikere...... Apollon. Hva gjorde den store sophus lie? Av Arild Stubhaug Det var den modernegeometri sophus lie nå i 1868 møtte med slik fascinasjon og iver. http://www.apollon.uio.no/2000_3-4/tema/abel-lie.shtml

Hva gjorde den store Sophus Lie? Av Arild Stubhaug Her hviler Lie, den store, store, store Arild Stubhaug , samme forfatter som i 1996 fikk Brageprisen for sin bok om Norges andre matematiske geni, Niels Henrik Abel (1802-29). utdrag fra Lie-biografien som forteller litt om hva Lie arbeidet med som matematiker. Vi bringer samtidig et lite som Stubhaug velvilligst har skrevet for Apollon. Red. Den aldrende kjempen Sophus Lie (Ill.: Oljemaleri av Erik Werenskiold, 1902) gruppe Lie-teori Av Arild Stubhaug Encyklopedia of Mathematics eller Encyclopedic Dictionary of Mathematics Abel: Eit kort, tragisk og imponerande liv Familietragedie Elevstreik Kolossen Lie Det kgl. Fred(e)riks Universitet 1811-1911 , band II ) Stortingsprofessor diktergasje Nasjonalsymbol Tema: Matematikkens magi Leder Teller matte? Hva gjorde Sophus Lie? Hvem var Abel og Lie? ... Hovedside Tema dette nr. arkiv Artikler dette nr. arkiv Ledere dette nr. arkiv Portrett dette nr. arkiv Boknytt dette nr.

24. Apollon: Biografisk Perle Matematikeren sophus lie , Aschehoug 2000, 624 s. Apollon. Biografisk perle.Bokmelding. Men sophus lie – vart han kanskje for fjern og utilnærmeleg? http://www.apollon.uio.no/2001_1/boknytt/stubhaug.shtml

Arild Stubhaug: Det var mine tankers djervhet. Matematikeren Sophus Lie , Aschehoug 2000, 624 s. Biografisk perle Bokmelding Bokmeldar Eldar Straume er professor ved Institutt for matematiske fag, NTNU . Boknytt i dette nr. Sophus Lie-biografi Vitenskap og politikk Maktutredning Ytringsfrihet ... Hovedside Tema dette nr. arkiv Artikler dette nr. arkiv Ledere dette nr. arkiv Portrett dette nr. arkiv Boknytt dette nr. arkiv Aktuelt dette nr. arkiv English dette nr. arkiv Apollon+ E-post til Apollon Ansvarlig: apollon@admin.uio.no

25. Read This: The Mathematician Sophus Lie Read This! The MAA Online book review column review of The Mathematician SophusLie It was the Audacity of My Thinking, by Arild Stubhaug. Read This! http://www.maa.org/reviews/audacity.html

Read This! The MAA Online book review column The Mathematician Sophus Lie: It was the Audacity of My Thinking by Arild Stubhaug Reviewed by Jeremy Gray Mathematically-inclined readers of this book should probably read it alongside Tom Hawkins' excellent book The Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926 (New York: Springer-Verlag, 2000). That book is a masterly and thorough account of Lie's ideas, their original formulation, their immediate reception, and the way it became transformed into the theory of Lie groups and Lie algebras that plays such a central role in modern mathematics. This book is an equally thorough and masterly account of Lie's life. Like Stubhaug's previous book , on Abel, this one is handsomely printed, well illustrated, and exhaustively researched. Stubhaug has taken the bold decision to say almost nothing technical about Lie's mathematics. While this may well be right for his original Norwegian readership, because short accounts of what Lie did are notoriously obscure, this does mean that he never even explains that what Lie called a group is not a group in the modern sense at all. The book is written in sections that introduce various themes, themselves presented chronologically, which gives it a slightly repetitive feel that also has its virtues. The balance of the Norwegian matter, which is done is rich detail, to French and German matter, necessarily covered in less detail, is very well struck. The translation reads very well, and when German or French has been translated it is usually done well (I did wonder about the use of capitals, and some mathematical terms come across uncertainly). But it is a fine example of a biography of a mathematician. There are not enough of those, and there are many mathematicians to go round, so we can hope that others will come along with Stubhaug's energy and skill. For in these pages you may indeed meet, and enjoy the company of, the mathematician Sophus Lie.

26. VEDA MATEMATIKOVÉ V HISTORII Marius sophus lie Jirí Svršek sophus lie se zabývalzejména teorií spojitých grup transformací a diferenciálními rovnicemi. http://pes.eunet.cz/veda/clanky/14772_0_0_0.html

NEVIDITELNÝ PES EUROPE'S ZVÍØETNÍK BYDLENÍ ... ENCYKLOPEDIE Úterý 28.8.2001 Svátek má Augustýn Biologie a pøíroda Vesmír Fyzika Medicína ... Archiv vydání Nadpis Autor Text èlánku Alena Marešová Neviditelný pes již pøed èasem uveøejnil dotazník paní doktorky Marešové z Institutu pro kriminologii a sociální prevenci v Praze, týkající se extremismu. Nyní vás znovu prosí o pomoc. Institut pro kriminologii a sociální prevenci se t.è. zabývá trestnou èinností policistù - jejími pøíèinami, nezbytnými podmínkami její existence a možnostmi její redukce. Dílèím úkolem je zjištìní, jak v souèasnosti policii a policisty vnímá veøejnost a odborná veøejnost. Ze zkušených pracovníkù justice a policie byl vytvoøen soubor expertù, jejichž názory budou zpracovány a interpretovány zvl᚝ .Vzhledem k vynikajícím zkušenostem ze sbìru názorù prostøednictvím dotazníkù pøedložených internetové èásti veøejnosti, také v tomto pøípadì jsem zpracovala krátký dotazník a prosím uživatele internetu o jeho vyplnìní. Pro zájemce uvádím program 43. semináøe Spoleènosti pro talent a nadání - ECHA:

27. Sophus Lie, Mathematician sophus lie, mathematician. lie was a Norwegian mathematician who inventedcontinuous groups, and also the algebras named after him. http://www.mth.kcl.ac.uk/~streater/lie.html

Sophus Lie, mathematician Lie was a Norwegian mathematician who invented continuous groups, and also the algebras named after him. His name is pronounced "Lee". Go to my HOME PAGE for more links.

28. Biog Lie Marius sophus lie (1842 1899) S. lie. sophus lie was born on December 17, 1842,in Nordfjordeid in Middle-Norway, where his farther was a protestant minister. http://www.math.uit.no/seminar/Lie_biog.htm

Marius Sophus Lie Click to see a larger version My life is actually quite incomprehensible for me. As a young man, I had no idea that I was blessed with originality. Then, as a 26-year-old, I suddenly realized that I could create. I read a little and began to produce. In these years, 1869-1874, I had a lot of ideas which, in the course of time, I had developed only very imperfectly. In particular, it was group theory and its great importance for the differential equations which interested me. But publications in this area went woefully slow. I could not structure it properly, and I was always afraid of making mistakes. Not the small inessential mistakes... No, it was the deep-rooted errors I feared. I am glad that my group theory in its present state doesn't contain any fundamental errors. S. Lie S ophus Lie was born on December 17, 1842, in Nordfjordeid in Middle-Norway, where his farther was a protestant minister. He did equally well in all subjects and did not demonstrate any particular preference for mathematics while studying. S ophus Lie was taught mathematics at school by Ludvig Sylow and then attended Sylow's lectures on group theory at the University of Christiania from where he graduated in 1865 (not gaining a distinction). There followed a few years when he could not decide what career to follow. Maybe this was the reason that algebraic problems were at first alien to Lie and as was believed by his pupil Gerhard Kowalewski, Lie did not even seem to be particularly familiar with his famous countryman Abel's theories.

29. The Mathematician Sophus Lie -- It Was The Audacity Of My Thinking (Arild Subhau Universal Rule Rambling Life in the Digital Realm. The Mathematician sophus lie It was the Audacity of My Thinking (Arild Subhaug, SpringerVerlag 2002). http://radio.weblogs.com/0112083/stories/bookrev/br046.html

Universal Rule Rambling Life in the Digital Realm. The Mathematician Sophus Lie It was the Audacity of My Thinking (Arild Subhaug, Springer-Verlag 2002) Creative Commons License Last update: 26/2/03; 10:55:37 Navigation Home About Blogroll Map Google site search Shortcuts Channels Universal Rule Science Macintosh Digital Ideas ... Personal Contact

30. Lie, Marius Sophus. The Columbia Encyclopedia, Sixth Edition. 2001 The Columbia Encyclopedia, Sixth Edition. 2001. lie, Marius sophus.(mä´r ss ´f sl ) (KEY) , 1842–99, Norwegian mathematician. http://www.bartleby.com/65/li/Lie-Mari.html

Select Search All Bartleby.com All Reference Columbia Encyclopedia World History Encyclopedia World Factbook Columbia Gazetteer American Heritage Coll. Dictionary Roget's Thesauri Roget's II: Thesaurus Roget's Int'l Thesaurus Quotations Bartlett's Quotations Columbia Quotations Simpson's Quotations English Usage Modern Usage American English Fowler's King's English Strunk's Style Mencken's Language Cambridge History The King James Bible Oxford Shakespeare Gray's Anatomy Farmer's Cookbook Post's Etiquette Bulfinch's Mythology Frazer's Golden Bough All Verse Anthologies Dickinson, E. Eliot, T.S. Frost, R. Hopkins, G.M. Keats, J. Lawrence, D.H. Masters, E.L. Sandburg, C. Sassoon, S. Whitman, W. Wordsworth, W. Yeats, W.B. All Nonfiction Harvard Classics American Essays Einstein's Relativity Grant, U.S. Roosevelt, T. Wells's History Presidential Inaugurals All Fiction Shelf of Fiction Ghost Stories Short Stories Shaw, G.B. Stein, G. Stevenson, R.L. Wells, H.G. Reference Columbia Encyclopedia PREVIOUS NEXT ... BIBLIOGRAPHIC RECORD The Columbia Encyclopedia, Sixth Edition. Lie, Marius Sophus

31. Editions Jacques Gabay - Sophus LIE Translate this page sophus lie. sophus lie. 1842 - 1899. Au catalogue des Editions JacquesGabay ABEL Œuvres complètes, tomes I et II, 2e édition http://www.gabay.com/sources/Liste_Bio.asp?NP=LIE+Sophus

32. Marius Sophus Lie - Anagrams Rearranging the letters of marius sophus lie gives 'So I hail pure sums.'! Rearrangingthe letters of 'Marius sophus lie' (Mathematician) gives http://www.anagramgenius.com/archive/marius.html

Rearranging the letters of 'Marius Sophus Lie' (Mathematician) gives: So I hail pure sums. (by Mike Mesterton-Gibbons by hand) (FREE!) Download FREE anagram-generating software for your Windows computer Instructions for linking to this page! Learn about the Anagram Genius software (Windows/MacOS) Search the Archive Add YOUR anagrams to the Archive! League table of top contributors Find anagram aliases of marius sophus lie (or any other text)! Find gold service anagrams of marius sophus lie (or any other text)! Anagram Genius Archive Main Index Anagram Gems Mailing List Anagram Genius Archive Norway Index www.anagramgenius.com home page Crossword Maestro for Windows . The world's first expert system for solving crossword clues! Click here for more information or to download. William Tunstall-Pedoe . See this page for other points concerning marius sophus lie.

33. Universitetet I Oslo - Sophus Lie 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.admin.uio.no/ia/web/arkitektur/IAs-webgruppe/fragmenter/navn/lie.html

Om UiO Bygninger : De gav bygningene navn Introduksjon Historikk Undervisning Forskning ... Organisasjon 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 Niels Henrik Abel Vilhelm Bjerknes Kristine Bonnevie Sophus Bugge ... Ragnar Frisch Sophus Lie P.A. Munch Svein Rosseland Eilert Sundt Georg Sverdrup ... Henrik Wergeland Teksten er hentet fra Apollon , nr. Redaksjon for Om UiO Ansvarlig: Informasjonsavdelingen. Adresse: informasjon@uio.no Opprettet 07.09.99 av TH Oppdatert 22.04.00 av MB

34. Brevene Som Ikke Ble Brent Det begynte som et nært vennskap mellom matematikerne Felix Klein og sophus lie,men endte med at Klein i sin minnetale til lie hevdet at lie var blitt http://www.admin.uio.no/ia/uniforum/1998/uniforum16-98/11.htm

Uniforum nr. 16 1998 Brevene som ikke ble brent Theorie der Transformationsgruppen - Uten belegg 25 000 tyske mark Uniforum nr. 16 1998

35. 100 Years After Sophus Lie 100 Years After sophus lie. The conference is devoted to sophus lie'swork and his impact on modern mathematics. Organizing Committee. http://www.mis.mpg.de/conferences/Lie100/mirror/

Mathematisches Institut Math-Net-Guide 100 Years After Sophus Lie This is the title of a conference to be held July 8-9, 1999, at the University of Leipzig Purpose of the conference The purpose of this conference is to commemorate the great mathematician Sophus Lie, who was a Professor at Leipzig University during his most productive years 1886-1898 and who died in 1899. The conference is devoted to Sophus Lie's work and his impact on modern mathematics. Organizing Committee K. Beyer (University of Leipzig) Phone: +49-341-9732118 kbeyer@mathematik.uni-leipzig.de J. Jost (Max-Planck-Institute for Mathematics in the Sciences) jjost@mis.mpg.de schmuedgen@mathematik.uni-leipzig.de Invited Speakers A. Borel (Princeton), S. Helgason (MIT), B. Kostant (MIT), A. Stubhaug (Oslo). Important: Latest updates Read the latest Circular for the most recent information on the conference, including updates on locations and route descriptions, and lunch in the Mensa of Leipzig University. Programme Expenses There will be no registration fee.

36. Conference Programme 100 Years After sophus lie Conference Programme. Scientific programme. 10.00-10.50,A. Stubhaug (Oslo), High Points in the Life and Times of sophus lie. http://www.mis.mpg.de/conferences/Lie100/mirror/prog.html

Mathematisches Institut Math-Net-Guide 100 Years after Sophus Lie 100 Years After Sophus Lie - Conference Programme Scientific programme All talks take place in in the Lecture Hall Building of the University of Leipzig (see Locations Thursday, July 8 A. Borel (Princeton) On the history of linear algebraic groups A. Stubhaug (Oslo) High Points in the Life and Times of Sophus Lie coffee break A. Onishchik (Yaroslavl) Lie groups and complex analytic supermanifolds K. Kopfermann (Hannover) Toroidal Lie Groups B. Komrakov (Leuven) Symmetries and Integrals lunch break D. Shirkov (Dubna) Renormalization group as a Lie group in theoretical and mathematical physics V. Kovalev (Moscow) Renormgroup analysis of singularities in boundary-value problems of mathematical physics N. Konopleva (Moscow) VI-th Hilbert's Problem and S. Lie infinite groups S. Kaneyuki (Tokyo) Compactification of parahermitian symmetric spaces and their automorphism groups-Geometry of symmetric hyperbolic orbits coffee break D. Repovs (Ljubljana)

37. Komm. Stundenplan - Hauptstudium - SS 1998 -- Seminar Sophus Lie Translate this page halbeinfacher lie-Algebren Seminar sophus lie. S2, Di, 16.15-18.00, 2D/417,Veranstalter Neeb und Mitarbeiter. Zielgruppe Fortgeschrittene http://www.mathematik.tu-darmstadt.de/Math-Net/Lehrveranstaltungen/WS1998-99/Hau

Go backward to Seminar: Angewandte Statistik Go up to Mathematische Seminare Go forward to Darstellungstheorie halbeinfacher Lie-Algebren Seminar Sophus Lie Di Veranstalter: Neeb und Mitarbeiter Zielgruppe: Fortgeschrittene Studierende im Studiengang M, Diplomanden und Doktoranden. Vorkenntnisse: Grundstudium, Funktionalanalysis. Themenkreis: Lie -Gruppen, Lie Typische Problemstellung: Die behandelten Probleme ergeben sich in der Regel im Zusammenhang mit aktueller Forschung in der Arbeitsgruppe. Einzelthemen. Veranstaltungsform: Lernziele: Lie theorie.

38. Kommentierter Stundenplan - Hauptstudium - WS 2002/2003 -- Seminar Sophus Lie (N Translate this page Prev Up Next Seminar sophus lie (Neeb, S2). Typ, Zeit, Raum, Beginn, CPs.S2, Di, 16.15-18.00, S2/15-417, 22.10. 3. Veranstalter Neeb und Mitarbeiter. http://www.mathematik.tu-darmstadt.de/Math-Net/Lehrveranstaltungen/WS2002-2003/H

Lehrveranstaltungen Aktuell: WS 2002/2003 SS 2002 ... Suche Seminar Sophus Lie (Neeb, S2) Typ Zeit Raum Beginn CPs Di Veranstalter: Neeb und Mitarbeiter Zielgruppe: Fortgeschrittene Studierende im Studiengang M, Diplomanden und Doktoranden. Vorkenntnisse: Grundstudium, Funktionalanalysis, Lie-Gruppen, Lie-Algebren. Themenkreis: Lie -Gruppen, Lie Typische Problemstellung: Die behandelten Probleme ergeben sich in der Regel im Zusammenhang mit aktueller Forschung in der Arbeitsgruppe. Einzelthemen. Veranstaltungsform: Lernziele: Lie theorie. Fachbereich Mathematik, Dekanat D-64289 Darmstadt wwwadmin@mathematik.tu-darmstadt.de

39. Seminar Sophus Lie Translate this page Seminar sophus lie. vorläufiges Programm des Treffens am 7./8.1.2000in Stuttgart eine (gut zum Ausdruck geeignete) PostScript-Version http://servix.mathematik.uni-stuttgart.de/~stroppel/ssl2000.shtml

Seminar Sophus Lie Stuttgart eine (gut zum Ausdruck geeignete) PostScript-Version dieses Dokuments finden Sie hier Informationen zur Anreise gibt es unten Freitag, 7.1. ab 9.00 Uhr: Kaffee/Tee in 8.141 (Mathematisches Institut, Pfaffenwaldring 57, 7. Stock, aus dem blauen Aufzug kommend rechts) 10.00 Uhr 10.10 Uhr Karl Heinrich Hofmann (Darmstadt): A structure theorem for compact but not necessarily connected groups 11.00 Uhr Richard Dipper (Stuttgart): Representations of finite groups of Lie type and quantum groups - Mittagspause - 14.30 Uhr Andreas Neumann (Darmstadt): A Kostant type convexity theorem for infinite dimensional classical Lie algebras 15.15 Uhr Georg Hofmann (Darmstadt): On invariant convex sets for linear Coxeter groups - Kaffeepause - Exponential map and centralizers 17.00 Uhr Katsuhiko Kikuchi (Kyoto, z.Z. Bielefeld): Representations of two-step nilpotent groups - Gelegenheit zum gemeinsamen Abendessen - Samstag, 8.1. 9.00 Uhr Matthias Berth (Greifswald): Invariants and equivalence transformations for ordinary differential equations 9.45 Uhr

40. Progenitors Of Lie Theory more.), Marius sophus lie (differential equations, local lie groups,lie algebras) Encyclopaedia Britannica on sophus lie, 1842 1899. http://servix.mathematik.uni-stuttgart.de/~stroppel/histLie.shtml

Progenitors of Lie Theory including links to the MacTutor History of Mathematics archive : just click the names! (In parentheses, I indicate main fields of interest - as far as Lie theory is concerned. Follow the links to the History of Mathematics archive or to Encyclopaedia Britannica to find out more.) Marius Sophus Lie (differential equations, local Lie groups, Lie algebras) Encyclopaedia Britannica on Sophus Lie Wilhelm Karl Joseph Killing (classification of simple complex Lie algebras, Lie groups) Friedrich Engel (Lie groups, Lie algebras: student and then most important co-worker with Sophus Lie) (continuous groups, Lie algebras) Hermann Weyl (representation theory of Lie algebras and groups, mathematical physics) Encyclopaedia Britannica on Hermann Weyl Claude Chevalley (algebraic groups, Lie groups, transfer of Lie-theoretic methods to the study of finite simple groups) There have been accesses to this page - since the counter was reset. Markus Stroppel

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