57 relations: Birkhäuser, Camille Jordan, Carathéodory–Jacobi–Lie theorem, Carl Anton Bjerknes, Cato Maximilian Guldberg, Charles Scribner's Sons, Christian Gustav Adolph Mayer, Commutator, Continuous symmetry, Crelle's Journal, Dictionary of Scientific Biography, Differential equation, Erlangen program, Felix Klein, Fontainebleau, Franco-Prussian War, French Academy of Sciences, Friedrich Engel (mathematician), Geometry, Georg Scheffers, Gerhard Kowalewski, Group (mathematics), Group action, Hans Frederick Blichfeldt, Hermann Weyl, Jean Gaston Darboux, Kazimierz Żorawski, Kingdom of Prussia, Leipzig University, Lie algebra, Lie bracket of vector fields, Lie derivative, Lie group, Lie sphere geometry, Lie's third theorem, List of simple Lie groups, List of things named after Sophus Lie, Lobachevsky Prize, London Mathematical Society, Lucjan Böttcher, Mathematician, Mathematics, National Academy of Sciences, Nordfjordeid, Norway, Norwegians, One-parameter group, Oslo, Quantum mechanics, Royal Society, ..., Springer Science+Business Media, University of Erlangen-Nuremberg, University of Göttingen, University of Oslo, Vector field, Vitamin B12, Vitamin B12 deficiency anemia. Expand index (7 more) »
Birkhäuser
Birkhäuser is a former Swiss publisher founded in 1879 by Emil Birkhäuser.
New!!: Sophus Lie and Birkhäuser · See more »
Camille Jordan
Marie Ennemond Camille Jordan (5 January 1838 – 22 January 1922) was a French mathematician, known both for his foundational work in group theory and for his influential Cours d'analyse.
New!!: Sophus Lie and Camille Jordan · See more »
Carathéodory–Jacobi–Lie theorem
The Carathéodory–Jacobi–Lie theorem is a theorem in symplectic geometry which generalizes Darboux's theorem.
New!!: Sophus Lie and Carathéodory–Jacobi–Lie theorem · See more »
Carl Anton Bjerknes
Carl Anton Bjerknes (24 October 1825 – 20 March 1903) was a Norwegian mathematician and physicist.
New!!: Sophus Lie and Carl Anton Bjerknes · See more »
Cato Maximilian Guldberg
Cato Maximilian Guldberg (11 August 1836 – 14 January 1902) was a Norwegian mathematician and chemist. Guldberg is best known as a pioneer in physical chemistry.
New!!: Sophus Lie and Cato Maximilian Guldberg · See more »
Charles Scribner's Sons
Charles Scribner's Sons, or simply Scribner's or Scribner, is an American publisher based in New York City, known for publishing American authors including Ernest Hemingway, F. Scott Fitzgerald, Kurt Vonnegut, Marjorie Kinnan Rawlings, Stephen King, Robert A. Heinlein, Thomas Wolfe, George Santayana, John Clellon Holmes, Don DeLillo, and Edith Wharton.
New!!: Sophus Lie and Charles Scribner's Sons · See more »
Christian Gustav Adolph Mayer
Christian Gustav Adolph Mayer (15 February 1839 – 11 April 1908) was a German mathematician.
New!!: Sophus Lie and Christian Gustav Adolph Mayer · See more »
Commutator
In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.
New!!: Sophus Lie and Commutator · See more »
Continuous symmetry
In mathematics, continuous symmetry is an intuitive idea corresponding to the concept of viewing some symmetries as motions, as opposed to discrete symmetry, e.g. reflection symmetry, which is invariant under a kind of flip from one state to another.
New!!: Sophus Lie and Continuous symmetry · See more »
Crelle's Journal
Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik (in English: Journal for Pure and Applied Mathematics).
New!!: Sophus Lie and Crelle's Journal · See more »
Dictionary of Scientific Biography
The Dictionary of Scientific Biography is a scholarly reference work that was published from 1970 through 1980.
New!!: Sophus Lie and Dictionary of Scientific Biography · See more »
Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
New!!: Sophus Lie and Differential equation · See more »
Erlangen program
The Erlangen program is a method of characterizing geometries based on group theory and projective geometry.
New!!: Sophus Lie and Erlangen program · See more »
Felix Klein
Christian Felix Klein (25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory.
New!!: Sophus Lie and Felix Klein · See more »
Fontainebleau
Fontainebleau is a commune in the metropolitan area of Paris, France.
New!!: Sophus Lie and Fontainebleau · See more »
Franco-Prussian War
The Franco-Prussian War or Franco-German War (Deutsch-Französischer Krieg, Guerre franco-allemande), often referred to in France as the War of 1870 (19 July 1871) or in Germany as 70/71, was a conflict between the Second French Empire of Napoleon III and the German states of the North German Confederation led by the Kingdom of Prussia.
New!!: Sophus Lie and Franco-Prussian War · See more »
French Academy of Sciences
The French Academy of Sciences (French: Académie des sciences) is a learned society, founded in 1666 by Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French scientific research.
New!!: Sophus Lie and French Academy of Sciences · See more »
Friedrich Engel (mathematician)
Friedrich Engel (December 26, 1861 – September 29, 1941) was a German mathematician.
New!!: Sophus Lie and Friedrich Engel (mathematician) · See more »
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
New!!: Sophus Lie and Geometry · See more »
Georg Scheffers
Georg Scheffers was a German mathematician specializing in differential geometry.
New!!: Sophus Lie and Georg Scheffers · See more »
Gerhard Kowalewski
Gerhard Kowalewski (27 March 1876 – 21 February 1950) was a German mathematician and member of the Nazi party who introduced the matrices notation.
New!!: Sophus Lie and Gerhard Kowalewski · See more »
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
New!!: Sophus Lie and Group (mathematics) · See more »
Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
New!!: Sophus Lie and Group action · See more »
Hans Frederick Blichfeldt
Hans Frederick Blichfeldt (9 January 1873 in Illar, Denmark – 16 November 1945 in Palo Alto, California) was a Danish and American mathematician who worked on group theory and the geometry of numbers.
New!!: Sophus Lie and Hans Frederick Blichfeldt · See more »
Hermann Weyl
Hermann Klaus Hugo Weyl, (9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher.
New!!: Sophus Lie and Hermann Weyl · See more »
Jean Gaston Darboux
Jean-Gaston Darboux FAS MIF FRS FRSE (14 August 1842 – 23 February 1917) was a French mathematician.
New!!: Sophus Lie and Jean Gaston Darboux · See more »
Kazimierz Żorawski
Kazimierz Żorawski (June 22, 1866 – January 23, 1953) was a Polish mathematician.
New!!: Sophus Lie and Kazimierz Żorawski · See more »
Kingdom of Prussia
The Kingdom of Prussia (Königreich Preußen) was a German kingdom that constituted the state of Prussia between 1701 and 1918.
New!!: Sophus Lie and Kingdom of Prussia · See more »
Leipzig University
Leipzig University (Universität Leipzig), in Leipzig in the Free State of Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany.
New!!: Sophus Lie and Leipzig University · See more »
Lie algebra
In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.
New!!: Sophus Lie and Lie algebra · See more »
Lie bracket of vector fields
In the mathematical field of differential topology, the Lie bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an operator that assigns to any two vector fields X and Y on a smooth manifold M a third vector field denoted.
New!!: Sophus Lie and Lie bracket of vector fields · See more »
Lie derivative
In differential geometry, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including scalar function, vector field and one-form), along the flow defined by another vector field.
New!!: Sophus Lie and Lie derivative · See more »
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
New!!: Sophus Lie and Lie group · See more »
Lie sphere geometry
Lie sphere geometry is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere.
New!!: Sophus Lie and Lie sphere geometry · See more »
Lie's third theorem
In mathematics, Lie's third theorem states that every finite-dimensional Lie algebra g over the real numbers is associated to a Lie group G. Historically, the third theorem referred to a different but related result.
New!!: Sophus Lie and Lie's third theorem · See more »
List of simple Lie groups
In mathematics, the simple Lie groups were first classified by Wilhelm Killing and later perfected by Élie Cartan.
New!!: Sophus Lie and List of simple Lie groups · See more »
List of things named after Sophus Lie
This is a list of things named after Sophus Lie.
New!!: Sophus Lie and List of things named after Sophus Lie · See more »
Lobachevsky Prize
The Lobachevsky Prize, awarded by the Russian Academy of Sciences, and the Lobachevsky Medal, awarded by the Kazan State University, are mathematical awards in honor of Nikolai Ivanovich Lobachevsky.
New!!: Sophus Lie and Lobachevsky Prize · See more »
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS) and the Institute of Mathematics and its Applications (IMA)).
New!!: Sophus Lie and London Mathematical Society · See more »
Lucjan Böttcher
Lucjan Emil Böttcher (1872–1937) was a Polish mathematician who worked in Lvov in the beginning of the 20th century.
New!!: Sophus Lie and Lucjan Böttcher · See more »
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
New!!: Sophus Lie and Mathematician · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Sophus Lie and Mathematics · See more »
National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.
New!!: Sophus Lie and National Academy of Sciences · See more »
Nordfjordeid
Nordfjordeid is the administrative centre of the municipality of Eid in Sogn og Fjordane county, western Norway.
New!!: Sophus Lie and Nordfjordeid · See more »
Norway
Norway (Norwegian: (Bokmål) or (Nynorsk); Norga), officially the Kingdom of Norway, is a unitary sovereign state whose territory comprises the western portion of the Scandinavian Peninsula plus the remote island of Jan Mayen and the archipelago of Svalbard.
New!!: Sophus Lie and Norway · See more »
Norwegians
Norwegians (nordmenn) are a Germanic ethnic group native to Norway.
New!!: Sophus Lie and Norwegians · See more »
One-parameter group
In mathematics, a one-parameter group or one-parameter subgroup usually means a continuous group homomorphism from the real line \mathbb (as an additive group) to some other topological group G. That means that it is not in fact a group, strictly speaking; if \varphi is injective then \varphi(\mathbb), the image, will be a subgroup of G that is isomorphic to \mathbb as additive group.
New!!: Sophus Lie and One-parameter group · See more »
Oslo
Oslo (rarely) is the capital and most populous city of Norway.
New!!: Sophus Lie and Oslo · See more »
Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
New!!: Sophus Lie and Quantum mechanics · See more »
Royal Society
The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.
New!!: Sophus Lie and Royal Society · See more »
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
New!!: Sophus Lie and Springer Science+Business Media · See more »
University of Erlangen-Nuremberg
Friedrich-Alexander University Erlangen-Nürnberg (Friedrich-Alexander-Universität Erlangen-Nürnberg, FAU) is a public research university in the cities of Erlangen and Nuremberg in Bavaria, Germany.
New!!: Sophus Lie and University of Erlangen-Nuremberg · See more »
University of Göttingen
The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.
New!!: Sophus Lie and University of Göttingen · See more »
University of Oslo
The University of Oslo (Universitetet i Oslo), until 1939 named the Royal Frederick University (Det Kongelige Frederiks Universitet), is the oldest university in Norway, located in the Norwegian capital of Oslo.
New!!: Sophus Lie and University of Oslo · See more »
Vector field
In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.
New!!: Sophus Lie and Vector field · See more »
Vitamin B12
Vitamin B12, also called cobalamin, is a water-soluble vitamin that is involved in the metabolism of every cell of the human body: it is a cofactor in DNA synthesis, and in both fatty acid and amino acid metabolism.
New!!: Sophus Lie and Vitamin B12 · See more »
Vitamin B12 deficiency anemia
Vitamin B12 deficiency anemia, of which pernicious anemia is a type, is a disease in which not enough red blood cells are produced due to a deficiency of vitamin B12.
New!!: Sophus Lie and Vitamin B12 deficiency anemia · See more »
Redirects here:
Marius Lie, Marius Sophus Lie, S. Lie.
References
[1] https://en.wikipedia.org/wiki/Sophus_Lie