ENGLISH

Discrete, Finite and Lie Groups: Comprehensive Group Theory in Geometry and Analysis

By Pietro Giuseppe Frè

Book information

Publisher
de Gruyter
Year
2023
ISBN
9783111200750, 9783111201535, 9783111202778
Language
english
Format
PDF
Filesize
24 MB (25405653 bytes)
Series
De Gruyter STEM
Edition
1
Pages
508\531
Topic
Mathematics\\Geometry and Topology
Orientation
yes
Paginated
yes
Scanned
portrait
Time added
2023-08-06 14:45:09
Group theoryLie algebrasLie GroupsManifoldsMondromy Groupsrepresentation theoryRoot Systems,Crystallographic Groups

Description

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. - Group theory is applied in Physics, Chemistry, Crystallography and many further fields. - Discrete and continuous groups are relevant for probability theory, graph theory, in the theory of games and as well in economical and statistical sciences.

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