Groups and Manifolds : : Lectures for Physicists with Examples in Mathematica / / Pietro Giuseppe Fré, Alexander Fedotov.
Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2018 |
Year of Publication: | 2017 |
Language: | English |
Series: | De Gruyter Textbook
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Physical Description: | 1 online resource (XXI, 475 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Acknowledgement
- Contents
- Some remarks about notation
- 1. Fundamental notions of algebra
- 2. Groups: a bestiary for beginners
- 3. Basic elements of finite group theory
- 4. Finite subgroups of SO(3) and crystallographic groups
- 5. Manifolds and Lie groups
- 6. Structure of Lie algebras
- 7. Root systems and their classification
- 8. Lie algebra representation theory
- 9. Exceptional Lie algebras
- 10. A primary on the theory of connections and metrics
- 11. Isometries and the geometry of coset manifolds
- 12. An anthology of group theory physical applications
- A. Exercises
- B. MATHEMATICA NoteBooks
- Bibliography