Editors:
- Presents new advances in Lie theory and its applications in physics
- Contains articles from top researchers in the field
- Covers many different applications and stimulates further research in the area
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 111)
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Table of contents (44 papers)
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Front Matter
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Plenary Talks
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Front Matter
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String Theories and Gravity Theories
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Front Matter
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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 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 meant in their widest sense, i.e., representation theory, algebraic geometry, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear PDE, special functions, and others. Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field.
Samples of these fresh 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 2013.
This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists and researchers in the field of Lie Theory.
Editors and Affiliations
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Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria
Vladimir Dobrev
Bibliographic Information
Book Title: Lie Theory and Its Applications in Physics
Book Subtitle: Varna, Bulgaria, June 2013
Editors: Vladimir Dobrev
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-4-431-55285-7
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Japan 2014
Hardcover ISBN: 978-4-431-55284-0Published: 06 February 2015
Softcover ISBN: 978-4-431-56233-7Published: 06 October 2016
eBook ISBN: 978-4-431-55285-7Published: 26 January 2015
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XIII, 571
Number of Illustrations: 51 b/w illustrations, 12 illustrations in colour
Topics: Geometry, Mathematical Physics, Topological Groups, Lie Groups