Lie Theory and Its Applications in Physics Varna, Bulgaria, June 2015 /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Dobrev, Vladimir (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Springer Proceedings in Mathematics & Statistics, 191
Temas:
Mathematical physics.
Functional analysis.
Topological groups.
Lie groups.
Elementary particles (Physics).
Quantum field theory.
Algebraic geometry.
Number theory.
Mathematical Physics.
Functional Analysis.
Topological Groups and Lie Groups.
Elementary Particles, Quantum Field Theory.
Algebraic Geometry.
Number Theory.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XV, 614 p. 29 illus., 17 illus. in color. online resource.
ISBN:9789811026362
ISSN:2194-1017 ;

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