Discrete, Finite and Lie Groups: Comprehensive Group Theory in Geometry and Analysis
Pietro Giuseppe Fré, 3111200752, 3111202771, 9783111200750, 9783111202778, 9783111201535, 978-3111200750, 978-3111202778, 978-3111201535, B0CD5NY532
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.