Springer Proceedings in Mathematics & Statistics

Lie Theory and Its Applications in Physics

Varna, Bulgaria, June 2019

Editors: Dobrev, Vladimir (Ed.)

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  • 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
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eBook 117,69 €
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  • ISBN 978-981-15-7775-8
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Hardcover 145,59 €
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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 near Varna (Bulgaria) in June 2019. 
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 large interdisciplinary and interrelated field. 
The topics covered in this volume from the workshop  represent the most modern trends in the field : Representation Theory, Symmetries in String Theories, Symmetries in Gravity Theories, Supergravity, Conformal Field Theory, Integrable Systems, Polylogarithms, and Supersymmetry. They also include Supersymmetric Calogero-type models, Quantum Groups, Deformations, Quantum Computing and Deep Learning, Entanglement, Applications to Quantum Theory, and Exceptional Quantum Algebra for the standard model of particle physics 
This book is suitable for a broad audience of  mathematicians, mathematical physicists, and  theoretical physicists, including researchers and graduate students interested in Lie Theory.

Table of contents (47 chapters)

Table of contents (47 chapters)

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-981-15-7775-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover 145,59 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Lie Theory and Its Applications in Physics
Book Subtitle
Varna, Bulgaria, June 2019
Editors
  • Vladimir Dobrev
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
335
Copyright
2020
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-15-7775-8
DOI
10.1007/978-981-15-7775-8
Hardcover ISBN
978-981-15-7774-1
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XIV, 552
Number of Illustrations
71 b/w illustrations, 38 illustrations in colour
Topics