Umfang:
1 Online-Ressource (XXII, 508 p.)
Ausgabe:
Reproduktion Issued also in print
ISBN:
9783111201535
Serie:
De Gruyter STEM
Inhalt:
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
Anmerkung:
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
,
Issued also in print
,
In English
Weitere Ausg.:
ISBN 9783111202778
Weitere Ausg.:
ISBN 9783111200750
Weitere Ausg.:
Erscheint auch als print ISBN 9783111200750
Sprache:
Englisch
DOI:
10.1515/9783111201535
Mehr zum Autor:
Fré, Pietro 1952-
