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Lie Theory and Its Applications in Physics [electronic resource] : IX International Workshop / edited by Vladimir Dobrev.

By: Dobrev, Vladimir [editor.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Springer Proceedings in Mathematics & Statistics: 36Publisher: Tokyo : Springer Japan : Imprint: Springer, 2013Description: XIV, 554 p. 57 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9784431542704.Subject(s): Mathematics | Algebra | Topological Groups | Geometry | Mathematics | Algebra | Topological Groups, Lie Groups | Geometry | Mathematical PhysicsDDC classification: 512 Online resources: Click here to access online In: Springer eBooksSummary: Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation 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. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics”  held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.
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Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation 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. Geometrisation and symmetries are meant in their broadest sense, i.e., classical geometry, differential geometry, groups and quantum groups, infinite-dimensional (super-)algebras, and their representations. Furthermore, we include the necessary tools from functional analysis and number theory. This is a large interdisciplinary and interrelated field. Samples of these new trends are presented in this volume, based on contributions from the Workshop “Lie Theory and Its Applications in Physics”  held near Varna, Bulgaria, in June 2011. This book is suitable for an extensive audience of mathematicians, mathematical physicists, theoretical physicists, and researchers in the field of Lie Theory.

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