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Sophus Lie (1842-1899) compte parmi les plus grandes figures norvgiennes de la science. La notorit que lui valent ses travaux n'a rien envier celle de son illustre compatriote Niels Henrik Abel. Groupes et alg bres de Lie ont acquis droit de cit dans maints domaines. Dans cette biographie dtaille, l'crivain Arild Stubhaug, puisant dans la volumineuse correspondance de Lie, dcrit l'homme et la socit norvgienne dans la seconde moiti du XIXe si cle. Le lecteur peut ainsi suivre son enfance dans un presbyt re nich au fond d'un fjord, dcouvrir les rformes de l'enseignement, voyager en Europe, frque
Mathematicians --- Lie, Sophus, --- Scientists --- Li, Sofus, --- Lie, Marius Sophus,
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Mathematical logic --- Geometry --- Mathematicians --- Symmetry --- Géométrie --- Mathématiciens --- History --- Biography --- Histoire --- Biographie --- Klein, Felix, --- Lie, Sophus, --- 514 "18" --- 929 KLEIN, FELIX --- -Symmetry --- -Mathematicians --- Scientists --- Aesthetics --- Proportion --- Mathematics --- Euclid's Elements --- Geometry--19e eeuw. Periode 1800-1899 --- Biografie. Genealogie. Heraldiek--KLEIN, FELIX --- Klein, Felix --- Lie, Sophus --- History. --- 929 KLEIN, FELIX Biografie. Genealogie. Heraldiek--KLEIN, FELIX --- 514 "18" Geometry--19e eeuw. Periode 1800-1899 --- Géométrie --- Mathématiciens --- Li, Sofus, --- Lie, Marius Sophus, --- Klein, Christian Felix, --- Klein, F. --- Klein, Félix. --- Geometry - History --- Symmetry - History --- Klein, Felix, - 1849-1925 --- Lie, Sophus, - 1842-1899
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This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems. Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.< This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
Mathematics. --- Algebraic geometry. --- Topological groups. --- Lie groups. --- Functional analysis. --- Number theory. --- Mathematical physics. --- Elementary particles (Physics). --- Quantum field theory. --- Mathematical Physics. --- Functional Analysis. --- Topological Groups, Lie Groups. --- Elementary Particles, Quantum Field Theory. --- Algebraic Geometry. --- Number Theory. --- Physics. --- Physics and applications. --- Physics and its applications. --- Lie, Sophus, --- Natural philosophy --- Philosophy, Natural --- Li, Sofus, --- Lie, Marius Sophus, --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Physical mathematics --- Physics --- Number study --- Numbers, Theory of --- Algebra --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Groups, Topological --- Continuous groups --- Algebraic geometry --- Geometry --- Math --- Science --- Mathematics --- Physical sciences --- Dynamics --- Topological Groups. --- Quantum theory. --- Geometry, algebraic. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Mechanics --- Thermodynamics
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