Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Mathematical background
- 1 Differentiable manifolds
- 2 Lie groups and coadjoint orbits
- Part II Quantum spaces and geometry
- Part III Noncommutative field theory and matrix models
- Part IV Matrix theory and gravity
- Appendix A Gaussian integrals over matrix spaces
- Appendix B Some SO(D) group theory
- Appendix C Torsion identities
- Appendix D Some integrals
- Appendix E Functions on coadjoint orbits
- Appendix F Glossary and notations
- References and Further Reading
- Index
2 - Lie groups and coadjoint orbits
from Part I - Mathematical background
Published online by Cambridge University Press: 04 April 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Mathematical background
- 1 Differentiable manifolds
- 2 Lie groups and coadjoint orbits
- Part II Quantum spaces and geometry
- Part III Noncommutative field theory and matrix models
- Part IV Matrix theory and gravity
- Appendix A Gaussian integrals over matrix spaces
- Appendix B Some SO(D) group theory
- Appendix C Torsion identities
- Appendix D Some integrals
- Appendix E Functions on coadjoint orbits
- Appendix F Glossary and notations
- References and Further Reading
- Index
Summary
The basic properties of Lie groups and related concepts are collected. This includes a discussion of coadjoint orbits and their symplectic structure, which helps to understand the semi-classical origin of imortant quantum spaces discussed in later chapters.
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- Quantum Geometry, Matrix Theory, and Gravity , pp. 13 - 28Publisher: Cambridge University PressPrint publication year: 2024