Marius Sophus Lie (/liː/ LEE; Norwegian: [liː]; 17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous...

Felix Klein and Sophus Lie: Evolution of the Idea of Symmetry in the Nineteenth Century is a 1988 book by I. M. Yaglom, translated from the Russian into...

has been extended far beyond these origins. Lie groups are named after Norwegian mathematician Sophus Lie (1842–1899), who laid the foundations of the...

In mathematics, the mathematician Sophus Lie (/liː/ LEE) initiated lines of study involving integration of differential equations, transformation groups...

{\displaystyle [x,x]=x\times x=0} . Lie algebras were introduced to study the concept of infinitesimal transformations by Sophus Lie in the 1870s, and independently...

under Sophus Lie in the years 1888–1889, worked on the subject of classification of simple Lie groups, which was started by Wilhelm Killing. In 1892 Lie came...

Felix Klein initiated the Erlangen programme. Sophus Lie, in 1884, started using groups (now called Lie groups) attached to analytic problems. Thirdly...

In differential geometry, the Lie derivative (/liː/ LEE), named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including...

Nordfjordeid is the location of the Sophus Lie Conference Center for mathematics. Notable mathematician Sophus Lie was born in the town in 1842. The Norwegian...

In mathematics, the Lie product formula, named for Sophus Lie (1875), but also widely called the Trotter product formula, named after Hale Trotter, states...

Sophus or Sofus is a male given name. Notable people with the given name include: Sophus Aars (1841–1931), Norwegian civil servant and writer Sophus Andersen...

fact, this is another way to state the Lie–Kolchin theorem. The result for Lie algebras was proved by Sophus Lie (1876) and for algebraic groups was proved...

1899, when its establishment was proposed by the Norwegian mathematician Sophus Lie when he learned that Alfred Nobel's plans for annual prizes would not...

complex Lie groups. Real forms of complex semisimple Lie groups and Lie algebras have been completely classified by Élie Cartan. Using the Lie correspondence...

field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or...

One-parameter groups were introduced by Sophus Lie in 1893 to define infinitesimal transformations. According to Lie, an infinitesimal transformation is an...

1883. Engel studied under Felix Klein at Leipzig, and collaborated with Sophus Lie for much of his life. He worked at Leipzig (1885–1904), Greifswald (1904–1913)...

In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras. (A simple Lie algebra is a non-abelian Lie algebra without any...

mathematics and theoretical physics, a representation of a Lie group is a linear action of a Lie group on a vector space. Equivalently, a representation...

all special functions and all their properties. In fact, Sophus Lie invented the theory of Lie groups when studying the symmetries of differential equations...

and he postponed working on content regarding the works of Poincaré and Sophus Lie. Starting in 1916, Klein taught his lectures in his own house to avoid...

mathematics, the special unitary group of degree n, denoted SU(n), is the Lie group of n × n unitary matrices with determinant 1. The matrices of the more...

transformation group, originating however from the geometric approach of Sophus Lie to investigate symmetries of differential equations, rather than out of...

Lie point symmetry is a concept in advanced mathematics. Towards the end of the nineteenth century, Sophus Lie introduced the notion of Lie group in order...

Isaak Moiseevich Yaglom (Russian: Исаа́к Моисе́евич Ягло́м; 6 March 1921 – 17 April 1988) was a Soviet mathematician and author of popular mathematics...

Félix Faure, President of France (b. 1841) February 18 – Sophus Lie, Norwegian mathematician; see Lie group.(b. 1842) February 23 – Gaëtan de Rochebouët, Prime...

circle or sphere. It was introduced by Sophus Lie in the nineteenth century. The main idea which leads to Lie sphere geometry is that lines (or planes)...

most important work was in the field of transformations pioneered by Sophus Lie. He improved greatly the understanding of contact transformations and...

Whitehead product. Trell, Erik (1998), "English Translation of Marius Sophus Lie' Doctoral Thesis" (PDF), Algebras, Groups and Geometries, 15 (4): 395–446...

a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected normal subgroups. The list of simple Lie groups can...