Theory Of Groups And Symmetries: Finite Groups, Lie Groups, And Lie Algebras
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A01=Alexey P Isaev
A01=Valery A Rubakov
AdS Spaces
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Author_Alexey P Isaev
Author_Valery A Rubakov
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Casimir Operators
Category1=Non-Fiction
Category=PHU
Conformal Symmetries
COP=Singapore
Coset Spaces
Delivery_Delivery within 10-20 working days
Differential Geometry
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eq_isMigrated=2
eq_nobargain
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eq_science
Language_English
Lie Algebras
Lie Groups
Lobachevskian Geometry
PA=Available
Price_€100 and above
PS=Active
Representation Theory
Root Systems
softlaunch
Yangians
Product details
- ISBN 9789813236851
- Publication Date: 03 May 2018
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence.The theory of groups and symmetries is an important part of theoretical physics. In elementary particle physics, cosmology and related fields, the key role is played by Lie groups and algebras corresponding to continuous symmetries. For example, relativistic physics is based on the Lorentz and Poincare groups, and the modern theory of elementary particles — the Standard Model — is based on gauge (local) symmetry with the gauge group SU(3) x SU(2) x U(1). This book presents constructions and results of a general nature, along with numerous concrete examples that have direct applications in modern theoretical and mathematical physics.
