Overview
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 36)
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About this book
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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Table of contents (42 papers)
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Front Matter
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Plenary Talks
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Front Matter
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Editors and Affiliations
Bibliographic Information
Book Title: Lie Theory and Its Applications in Physics
Book Subtitle: IX International Workshop
Editors: Vladimir Dobrev
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-4-431-54270-4
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Japan 2013
Hardcover ISBN: 978-4-431-54269-8Published: 19 April 2013
Softcover ISBN: 978-4-431-54695-5Published: 20 May 2015
eBook ISBN: 978-4-431-54270-4Published: 09 April 2013
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XIV, 554
Topics: Algebra, Topological Groups, Lie Groups, Geometry, Mathematical Physics