Discrete, Finite and Lie Groups : : Comprehensive Group Theory in Geometry and Analysis / / Pietro Giuseppe Fré.
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 consistentl...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
| Year of Publication: | 2023 |
| Language: | English |
| Series: | De Gruyter STEM
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| Online Access: | |
| Physical Description: | 1 online resource (XXII, 508 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Some remarks about notations
- Contents
- 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
- A Available MATHEMATICA NoteBooks written by the author
- Bibliography
- About the author
- Index