# Lie Theory and Its Applications in Physics

## Varna, Bulgaria, June 2013

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Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 111)

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Conference proceedings

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 111)

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.

(Super-)Gravity Theories Conformal Field Theory Quantum Field Theory Representation Theory String Theory Supersymmetry

- DOI https://doi.org/10.1007/978-4-431-55285-7
- Copyright Information Springer Japan 2014
- Publisher Name Springer, Tokyo
- eBook Packages Mathematics and Statistics
- Print ISBN 978-4-431-55284-0
- Online ISBN 978-4-431-55285-7
- Series Print ISSN 2194-1009
- Series Online ISSN 2194-1017
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