eBook - ePub
Discrete, Finite and Lie Groups
Comprehensive Group Theory in Geometry and Analysis
- 530 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Discrete, Finite and Lie Groups
Comprehensive Group Theory in Geometry and Analysis
About this book
In a self contained and exhaustive work the author covers Group Theory in its multifaceted aspects, treating its conceptual foundations in a proper logical order. First discrete and finite group theory, that includes the entire chemical-physical field of crystallography is developed self consistently, followed by the structural theory of Lie Algebras with a complete exposition of the roots and Dynkin diagrams lore. A primary on Fibre-Bundles, Connections and Gauge fields, Riemannian Geometry and the theory of Homogeneous Spaces G/H is also included and systematically developed.
https://petrusfremathandlit.net
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Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Discrete, Finite and Lie Groups by Pietro Giuseppe Fré in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Title Page
- Copyright
- Contents
- Preface
- 1 Groups: the intuitive notion
- 2 Fundamental notions of algebra
- 3 Groups: noticeable examples and some developments
- 4 Basic elements of finite group theory
- 5 Finite subgroups of SO(3): the ADE classification
- 6 Manifolds and Lie groups
- 7 The relation between Lie groups and Lie algebras
- 8 Crystallographic groups and group extensions
- 9 Monodromy groups of differential equations
- 10 Structure of Lie algebras
- 11 Root systems and their classification
- 12 Lie algebra representation theory
- 13 Exceptional Lie algebras
- 14 In depth study of a simple group
- 15 A primary on the theory of connections and metrics
- 16 Isometries and the geometry of coset manifolds
- 17 Functional spaces and non-compact Lie algebras
- 18 Harmonic analysis and conclusive remarks
- Subject Index