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Sophus Lie

Index Sophus Lie

Marius Sophus Lie (17 December 1842 – 18 February 1899) was a Norwegian mathematician. [1]

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.

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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.

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Carathéodory–Jacobi–Lie theorem

The Carathéodory–Jacobi–Lie theorem is a theorem in symplectic geometry which generalizes Darboux's theorem.

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Carl Anton Bjerknes

Carl Anton Bjerknes (24 October 1825 – 20 March 1903) was a Norwegian mathematician and physicist.

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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.

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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.

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Christian Gustav Adolph Mayer

Christian Gustav Adolph Mayer (15 February 1839 – 11 April 1908) was a German mathematician.

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Commutator

In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.

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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.

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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).

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Dictionary of Scientific Biography

The Dictionary of Scientific Biography is a scholarly reference work that was published from 1970 through 1980.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Erlangen program

The Erlangen program is a method of characterizing geometries based on group theory and projective geometry.

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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.

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Fontainebleau

Fontainebleau is a commune in the metropolitan area of Paris, France.

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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.

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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.

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Friedrich Engel (mathematician)

Friedrich Engel (December 26, 1861 – September 29, 1941) was a German mathematician.

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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.

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Georg Scheffers

Georg Scheffers was a German mathematician specializing in differential geometry.

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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.

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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.

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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.

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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.

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Hermann Weyl

Hermann Klaus Hugo Weyl, (9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher.

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Jean Gaston Darboux

Jean-Gaston Darboux FAS MIF FRS FRSE (14 August 1842 – 23 February 1917) was a French mathematician.

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Kazimierz Żorawski

Kazimierz Żorawski (June 22, 1866 – January 23, 1953) was a Polish mathematician.

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Kingdom of Prussia

The Kingdom of Prussia (Königreich Preußen) was a German kingdom that constituted the state of Prussia between 1701 and 1918.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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List of simple Lie groups

In mathematics, the simple Lie groups were first classified by Wilhelm Killing and later perfected by Élie Cartan.

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List of things named after Sophus Lie

This is a list of things named after Sophus Lie.

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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.

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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)).

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Lucjan Böttcher

Lucjan Emil Böttcher (1872–1937) was a Polish mathematician who worked in Lvov in the beginning of the 20th century.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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National Academy of Sciences

The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.

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Nordfjordeid

Nordfjordeid is the administrative centre of the municipality of Eid in Sogn og Fjordane county, western Norway.

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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.

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Norwegians

Norwegians (nordmenn) are a Germanic ethnic group native to Norway.

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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.

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Oslo

Oslo (rarely) is the capital and most populous city of Norway.

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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.

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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.

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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.

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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.

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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.

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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.

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Vector field

In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

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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.

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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.

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Redirects here:

Marius Lie, Marius Sophus Lie, S. Lie.

References

[1] https://en.wikipedia.org/wiki/Sophus_Lie

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