Lie Theory and Its Applications in Physics

Lie Theory and Its Applications in Physics

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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 a€œLie Theory and Its Applications in Physicsa€ 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.The Ruijsenaars Self-Duality Map as a Mapping Class Symplectomorphism L. FehAcr and C. Klimcik Abstract This is a brief review of the main results of our paper [Nucl. ... 1 Introduction In his study of action-angle maps, Ruijsenaars [12] discovered an intriguing duality relation for both non-relativistic and relativistic Calogero ... DOI 10.1007/978-4-431-54270-4_30, Ac Springer Japan 2013 1In general, identifying the phase spaces of any dual pair The Ruijsenaars Self- Duality Map as aanbsp;...

Title:Lie Theory and Its Applications in Physics
Author:Vladimir Dobrev
Publisher:Springer Science & Business Media - 2013-04-09


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