Lie, Sophus 18421899
Overview
Works:  386 works in 888 publications in 7 languages and 6,699 library holdings 

Genres:  Conference proceedings History Biography 
Roles:  Author, Editor, Honoree, Publishing director 
Classifications:  QA385, 512.55 
Publication Timeline
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Most widely held works about
Sophus Lie
 Felix Klein and Sophus Lie : evolution of the idea of symmetry in the Nineteenth Century by I. M I︠A︡glom I. M I︠A︡glom( Book )
 Sophus Lie une pensée audacieuse by Arild Stubhaug Arild Stubhaug( )
 The mathematician Sophus Lie : it was the audacity of my thinking by Arild Stubhaug Arild Stubhaug( Book )
 The Evanston colloquium lectures on mathematics delivered from Aug. 28 to Sept. 9, 1893 before members of the Congress of Mathematics held in connection with the World's Fair in Chicago at Northwestern University, Evanston, Ill by Felix Klein Felix Klein( )
 A monograph on Sophus Lie's theory of the phasemanifold with representations in geometry and relativistic mechanics by R. S Capon R. S Capon( Book )
 Proceedings by Olav Arnfinn Laudal Olav Arnfinn Laudal( Book )
 Conférences sur les mathématiques, faites au Congrès de mathématiques tenu à l'occasion de l'Exposition de Chicago by Felix Klein Felix Klein( Book )
 Some applications of group representations by Nolan R Wallach Nolan R Wallach( Visual )
 Sofus Li, 18421899 by Efim Mikhaĭlovich Polishchuk Efim Mikhaĭlovich Polishchuk( Book )
 Sophus Lie: ausführliches Verzeichnis seiner Schriften. Mit dem bildnis Sophus Lies in heliogravüre by Friedrich Engel Friedrich Engel( Book )
 Es war die Kühnheit meiner Gedanken : Der Mathematiker Sophus Lie by Arild Stubhaug Arild Stubhaug( Book )
 Geometries, groups and algebras in the nineteenth century : a history by I. M I︠A︡glom I. M I︠A︡glom( Book )
 Sur une généralisation de la transformation de Lie by Herbert Jobin Herbert Jobin( Book )
 Verzeichniss über den Wissenschaftlichen Nachlass von Sophus Lie by Carl Størmer Carl Størmer( Book )
 Verzeichnis über den wissenschaftlichen nachlass von Sophus Lie by Alf Guldberg Alf Guldberg( Book )
 The theory of perturbations and Lie's theory of contact transformations by Edgar Odell Lovett Edgar Odell Lovett( )
 Mathematiske Meddelelser af Sophus Lie til Videnskabsselskabet fra Aarene 18691871 by Sophus Lie Sophus Lie( Book )
 Selected papers by Henri Poincaré Henri Poincaré( )
 Feliks Kleĭn i Sofus Li by I. M I︠A︡glom I. M I︠A︡glom( Book )
 Study of lie symmetries of the Vaidya equations by Srinath Vadlamani Srinath Vadlamani( )
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Most widely held works by
Sophus Lie
Vorlesungen über continuierliche Gruppen mit geometrischen und anderen Anwendungen
by
Sophus Lie(
Book
)
32 editions published between 1698 and 1971 in German and Undetermined and held by 509 WorldCat member libraries worldwide
32 editions published between 1698 and 1971 in German and Undetermined and held by 509 WorldCat member libraries worldwide
Oeuvres complètes de Niels Henrik Abel
by
Niels Henrik Abel(
Book
)
38 editions published between 1881 and 2012 in 4 languages and held by 494 WorldCat member libraries worldwide
38 editions published between 1881 and 2012 in 4 languages and held by 494 WorldCat member libraries worldwide
Theorie der Transformationsgruppen
by
Sophus Lie(
Book
)
40 editions published between 1888 and 1974 in 3 languages and held by 417 WorldCat member libraries worldwide
40 editions published between 1888 and 1974 in 3 languages and held by 417 WorldCat member libraries worldwide
Lie algebras
by
Zhexian Wan(
Book
)
3 editions published in 1975 in English and held by 290 WorldCat member libraries worldwide
Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semisimple Lie algebras and the dependence of structure of semisimple Lie algebras on root systems. The text explains in details the fundamental systems of roots of semi simple Lie algebras and Weyl groups including the properties of the latter. The book addresses the group of automorphisms and the derivation algebra of a Lie algebra and Schur's lemma. The book then shows the characters of irreducible representations of semi simple Lie algebras. This book can be useful for students in advance algebra or who have a background in linear algebra
3 editions published in 1975 in English and held by 290 WorldCat member libraries worldwide
Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semisimple Lie algebras and the dependence of structure of semisimple Lie algebras on root systems. The text explains in details the fundamental systems of roots of semi simple Lie algebras and Weyl groups including the properties of the latter. The book addresses the group of automorphisms and the derivation algebra of a Lie algebra and Schur's lemma. The book then shows the characters of irreducible representations of semi simple Lie algebras. This book can be useful for students in advance algebra or who have a background in linear algebra
Geometrie der berührungstransformationen
by
Sophus Lie(
Book
)
22 editions published between 1896 and 2005 in 3 languages and held by 283 WorldCat member libraries worldwide
22 editions published between 1896 and 2005 in 3 languages and held by 283 WorldCat member libraries worldwide
Vorlesungen über differentialgleichungen mit bekannten infinitesimalen transformationen
by
Sophus Lie(
Book
)
29 editions published between 1891 and 1980 in German and held by 258 WorldCat member libraries worldwide
29 editions published between 1891 and 1980 in German and held by 258 WorldCat member libraries worldwide
Sophus Lie's 1880 transformation group paper
by
Sophus Lie(
Book
)
11 editions published in 1975 in English and held by 256 WorldCat member libraries worldwide
11 editions published in 1975 in English and held by 256 WorldCat member libraries worldwide
Sophus Lie's 1884 differential invariant paper
by
Sophus Lie(
Book
)
10 editions published in 1976 in English and held by 232 WorldCat member libraries worldwide
10 editions published in 1976 in English and held by 232 WorldCat member libraries worldwide
DifferentialGleichungen
by
Sophus Lie(
Book
)
18 editions published between 1891 and 2004 in 3 languages and held by 195 WorldCat member libraries worldwide
18 editions published between 1891 and 2004 in 3 languages and held by 195 WorldCat member libraries worldwide
Geometrie der Berührungstransformationen
by
Sophus Lie(
)
3 editions published between 1896 and 2010 in German and held by 130 WorldCat member libraries worldwide
3 editions published between 1896 and 2010 in German and held by 130 WorldCat member libraries worldwide
Gesammelte Abhandlungen
by
Sophus Lie(
Book
)
36 editions published between 1922 and 1973 in 3 languages and held by 128 WorldCat member libraries worldwide
36 editions published between 1922 and 1973 in 3 languages and held by 128 WorldCat member libraries worldwide
Séminaire "Sophus Lie" : [exposés]
by Séminaire "Sophus Lie."(
)
in French and held by 115 WorldCat member libraries worldwide
in French and held by 115 WorldCat member libraries worldwide
Über Integralinvarianten und Differentialgleichungen
by
Sophus Lie(
)
18 editions published between 1902 and 2008 in German and English and held by 99 WorldCat member libraries worldwide
18 editions published between 1902 and 2008 in German and English and held by 99 WorldCat member libraries worldwide
Über die Grundlagen der Geometrie
by
Sophus Lie(
Book
)
14 editions published between 1890 and 1967 in German and held by 74 WorldCat member libraries worldwide
14 editions published between 1890 and 1967 in German and held by 74 WorldCat member libraries worldwide
Gesammelte Abhandlungen auf Grund einer Bewilligung aus dem Norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapskademe zu Oslo und der Akademie der Wissenschaften zu Leipzig
by
Sophus Lie(
Book
)
6 editions published in 1922 in German and held by 64 WorldCat member libraries worldwide
6 editions published in 1922 in German and held by 64 WorldCat member libraries worldwide
Beiträge zur Theorie der Differentialinvarianten
by
Sophus Lie(
Book
)
5 editions published in 1993 in German and held by 59 WorldCat member libraries worldwide
5 editions published in 1993 in German and held by 59 WorldCat member libraries worldwide
Untersuchungen über unendliche continuirliche Gruppen
by
Sophus Lie(
Book
)
8 editions published between 1893 and 1895 in German and held by 58 WorldCat member libraries worldwide
8 editions published between 1893 and 1895 in German and held by 58 WorldCat member libraries worldwide
Theorie der Transformationsgruppen
by
Sophus Lie(
Book
)
13 editions published between 1890 and 1980 in German and held by 56 WorldCat member libraries worldwide
13 editions published between 1890 and 1980 in German and held by 56 WorldCat member libraries worldwide
Om Poncelet's betydning for geometrien. Et bidrag til de moderngeometriske ideers udviklingshistorie
by
Elling Holst(
Book
)
5 editions published in 1878 in Norwegian and held by 54 WorldCat member libraries worldwide
5 editions published in 1878 in Norwegian and held by 54 WorldCat member libraries worldwide
Classification der flächen nach der transformationsgruppe ihrer geodätischen curven
by
Sophus Lie(
Book
)
9 editions published in 1879 in German and Norwegian and held by 52 WorldCat member libraries worldwide
9 editions published in 1879 in German and Norwegian and held by 52 WorldCat member libraries worldwide
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Scheffers, Georg 18661945 Author Editor Creator
 Engel, Friedrich 18611941 Publishing director Creator Contributor Editor Author
 Klein, Felix 18491925 Author
 Stubhaug, Arild 1948 Author
 Abel, Niels Henrik 18021829 Author
 Sylow, Ludvig 18321918 Editor
 Яглом, И. М (Исаак Моисеевич) 19211988 Author
 Hermann, Robert 1931 Author of introduction Author Editor
 Shenitzer, Abe
 Grant, Hardy
Useful Links
Associated Subjects
Abelian categories Abelian groups Algebra, Abstract Clebsch, Alfred, Computer science Congresses and conventions Contact transformations Continuous groups Craig, Thomas, Curves Darwin, George Howard,Sir, Differential equations Differential invariants Elliptic functions Equations Functions Functions, Abelian Geometry Geometry, NonEuclidean Geometry, Projective GeometryFoundations Group theory Hermite, Charles, Hertz, Heinrich, Integrals Kelvin, William Thomson,Baron, Lie, Sophus, Lie algebras Lie groups Mathematicians Mathematics Mathematics, German MathematicsStudy and teaching Minimal surfaces MittagLeffler, Magnus Gustaf, Norway Perturbation (Mathematics) Physics PhysicsPhilosophy Poincaré, Henri, Quantum theory Representations of groups Series Surfaces Symmetry Topology Transformation groups Transformations, Infinitesimal Transformations (Mathematics) Universität Göttingen