Overview
- Presents a unique balanced representation of mathematicians, mathematical physicists, and theoretical physicists
- Serves as interface of the scientific interests and methods of these groups of scientists
- Covers the entire field of Lie Theory in its widest sense with its applications in many diverse facets of physics
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 396)
Included in the following conference series:
Conference proceedings info: LT 2021.
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About this book
This volume presents modern trends in the area of symmetries and their applications based on contributions to the Workshop "Lie Theory and Its Applications in Physics" held in Sofia, Bulgaria (on-line) in June 2021.
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, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a big interdisciplinary and interrelated field.
The topics covered in this Volume are the most modern trends in the field of the Workshop: Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, Exceptional quantum algebra for the standard model of particle physics, Gauge Theories and Applications, Structures on Lie Groups and Lie Algebras.
This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
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, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators, special functions, and others. Furthermore, the necessary tools from functional analysis are included. This is a big interdisciplinary and interrelated field.
The topics covered in this Volume are the most modern trends in the field of the Workshop: Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, Exceptional quantum algebra for the standard model of particle physics, Gauge Theories and Applications, Structures on Lie Groups and Lie Algebras.
This book is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
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Table of contents (53 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, (Super-)Gravity, Cosmology
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Front Matter
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Other volumes
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Lie Theory and Its Applications in Physics
Editors and Affiliations
Bibliographic Information
Book Title: Lie Theory and Its Applications in Physics
Book Subtitle: Sofia, Bulgaria, June 2021
Editors: Vladimir Dobrev
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-981-19-4751-3
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022
Hardcover ISBN: 978-981-19-4750-6Published: 01 February 2023
Softcover ISBN: 978-981-19-4753-7Published: 02 February 2024
eBook ISBN: 978-981-19-4751-3Published: 29 January 2023
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: XV, 542
Number of Illustrations: 34 b/w illustrations, 40 illustrations in colour
Topics: Topological Groups, Lie Groups, Mathematical Physics