Discrete, finite and Lie groups

• Verfasst von: Fré, Pietro [VerfasserIn]
• Titel: Discrete, finite and Lie groups
• Titelzusatz: comprehensive group theory in geometry and analysis
• Institutionen: Walter de Gruyter GmbH & Co. KG [Verlag]
• Verf.angabe: Pietro Giuseppe Fré
• Verlagsort: Berlin ; Boston
• Verlag: De Gruyter
• E-Jahr: 2023
• Jahr: [2023]
• Umfang: xxii, 508 Seiten
• Illustrationen: Illustrationen
• Gesamttitel/Reihe: De Gruyter STEM
• Fussnoten: Literaturverzeichnis: Seite 497-501
• ISBN: 978-3-11-120075-0
• ISBN: 3-11-120075-2
• Schlagwörter: (s)Gruppentheorie / (s)Lie-Algebra / (s)Differentialgeometrie / (s)Analysis
• Sprache: eng
• RVK-Notation: SK 340
• K10plus-PPN: 1841632767

Abstract

Publisher’s 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.