Theory of Groups and Symmetries

Finite Groups, Lie Groups, and Lie Algebras

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, General Physics
Cover of the book Theory of Groups and Symmetries by Alexey P Isaev, Valery A Rubakov, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexey P Isaev, Valery A Rubakov ISBN: 9789813236875
Publisher: World Scientific Publishing Company Publication: March 21, 2018
Imprint: WSPC Language: English
Author: Alexey P Isaev, Valery A Rubakov
ISBN: 9789813236875
Publisher: World Scientific Publishing Company
Publication: March 21, 2018
Imprint: WSPC
Language: English

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.

Contents:

  • Preface
  • Groups and Transformations
  • Lie Groups
  • Lie Algebras
  • Representations of Groups and Lie Algebras
  • Compact Lie Algebras
  • Root Systems and Classification of Simple Lie Algebras
  • Homogeneous Spaces and their Geometry
  • Solutions to Selected Problems
  • Selected Bibliography
  • References
  • Index

Readership: Graduate students and researchers in theoretical physics and mathematical physics.
0

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

Contents:

Readership: Graduate students and researchers in theoretical physics and mathematical physics.
0

More books from World Scientific Publishing Company

Cover of the book The China Horizon by Alexey P Isaev, Valery A Rubakov
Cover of the book Numerical Ocean Circulation Modeling by Alexey P Isaev, Valery A Rubakov
Cover of the book Glassy Disordered Systems by Alexey P Isaev, Valery A Rubakov
Cover of the book Semiconductor Quantum Dots and Rods for In Vivo Imaging and Cancer Phototherapy by Alexey P Isaev, Valery A Rubakov
Cover of the book Stock Markets, Investments and Corporate Behavior by Alexey P Isaev, Valery A Rubakov
Cover of the book World Century Compendium to TCM by Alexey P Isaev, Valery A Rubakov
Cover of the book The Future Information Society by Alexey P Isaev, Valery A Rubakov
Cover of the book Introduction to Micromechanics and Nanomechanics by Alexey P Isaev, Valery A Rubakov
Cover of the book Optical Properties of Graphene by Alexey P Isaev, Valery A Rubakov
Cover of the book Statistical Tests of Nonparametric Hypotheses by Alexey P Isaev, Valery A Rubakov
Cover of the book Chinese Migrants Abroad by Alexey P Isaev, Valery A Rubakov
Cover of the book An Introduction to Pseudo-Differential Operators by Alexey P Isaev, Valery A Rubakov
Cover of the book Molecular Imaging Probes for Cancer Research by Alexey P Isaev, Valery A Rubakov
Cover of the book Living Digital 2040 by Alexey P Isaev, Valery A Rubakov
Cover of the book Classical and Computational Solid Mechanics by Alexey P Isaev, Valery A Rubakov
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy