WorldCat Identities

Lie, Sophus 1842-1899

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
Key
Publications about  Sophus Lie Publications about Sophus Lie
Publications by  Sophus Lie Publications by Sophus Lie
posthumous Publications by Sophus Lie, published posthumously.
Most widely held works about Sophus Lie
 
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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
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
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
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 semi-simple Lie algebras and the dependence of structure of semi-simple 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
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
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
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
Differential-Gleichungen by Sophus Lie ( Book )
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
Gesammelte Abhandlungen by Sophus Lie ( Book )
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
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
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
Beiträge zur Theorie der Differentialinvarianten by Sophus Lie ( Book )
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
Theorie der Transformationsgruppen by Sophus Lie ( Book )
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
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
 
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Audience Level
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Audience Level
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  Kids General Special  
Audience level: 0.81 (from 0.37 for Theorie de ... to 0.97 for Feliks Kle ...)
Alternative Names
Li, Sofus.
Li Sofus 1842-1899
Lie, Marius S. 1842-1899
Lie, Marius Sophus
Lie Marius Sophus 1842-1899
Lie, S.
Lie, Sophus
Lie, Sophus Marius.
リー, ソーフス
Languages
German (229)
English (63)
French (40)
Norwegian (16)
Russian (4)
Danish (2)
Latin (1)
Covers