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Hace 5 días · Lie algebras were introduced to study the concept of infinitesimal transformations by Sophus Lie in the 1870s, and independently discovered by Wilhelm Killing in the 1880s. The name Lie algebra was given by Hermann Weyl in the 1930s; in older texts, the term infinitesimal group was used.
Hace 2 días · La idea de otorgar un premio inter nacional similar al premio Nobel fue de Sophus Lie, el segundo matemático noruego más reconocido mundialmente. Lie realizó una labor muy encomiable para reunir fondos destinados a conceder el premio, lamentablemente murió en el año 1899, sin ver cristalizado su anhelo.
Hace 2 días · The most influential worker in this direction was the Norwegian Sophus Lie. Lie, and independently Wilhelm Killing in Germany, came to suspect that the systems of partial differential operators they were studying came in a limited variety of types.
Hace 1 día · In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental in the theory of Lie groups and Lie algebras, especially the classification and representation theory of semisimple Lie algebras.
Hace 4 días · By utilizing Lie symmetry analysis, researchers can uncover hidden symmetries and transformations that simplify the equations and enable deeper insights into their behavior. Lie symmetry analysis, developed by Sophus Lie in the 19th century, offers a systematic approach to study the symmetries of differential equations.
Hace 3 días · Further advancing these ideas, Sophus Lie founded the study of Lie groups in 1884. The third field contributing to group theory was number theory. Certain abelian group structures had been used implicitly in Carl Friedrich Gauss's number-theoretical work Disquisitiones Arithmeticae (1798), and more explicitly by Leopold Kronecker.
Hace 4 días · En 1871, Richard Dedekind, à son retour de Paris où il suit [126] avec Sophus Lie les leçons de Gaston Darboux sur la théorie de Galois élaborée par Camille Jordan [Information douteuse] [127], applique à la théorie des nombres le concept de champ de rationalité que Leopold Kronecker avait trouvé en 1870 dans la théorie des équations de Galois, et invente ainsi le concept de corps.
