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
9783111201535, 9783111200750
DOI
10.1515/9783111201535
Language
english
Format
PDF
Filesize
23 MB (24222587 bytes)
Pages
530\530
Time added
2023-08-15 05:14:56

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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