UID:
edocfu_9961219658702883
Umfang:
1 online resource (XXII, 508 p.)
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
Sprache:
Englisch
DOI:
10.1515/9783111201535
URL:
https://doi.org/10.1515/9783111201535
URL:
https://www.degruyter.com/isbn/9783111201535
