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Book
Sophus Lie : une pensee audacieuse
Authors: --- ---
ISBN: 1280614110 9786610614110 2287303227 Year: 2006 Publisher: Paris : Springer,

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Abstract

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


Book
Felix Klein and Sophus Lie : evolution of the idea of symmetry in the nineteenth century
Authors: --- --- ---
ISBN: 0817633162 3764333162 9783764333164 9780817633165 Year: 1988 Publisher: Boston: Birkhäuser,


Book
Lie Theory and Its Applications in Physics : Varna, Bulgaria, June 2015
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ISBN: 981102636X 9811026351 Year: 2016 Publisher: Singapore : Springer Singapore : Imprint: Springer,

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Abstract

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.

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