TY - BOOK AU - Fré,Pietro Giuseppe TI - Discrete, finite and lie groups: comprehensive group theory in geometry and analysis T2 - De Gruyter STEM SN - 9783111200750 U1 - 512.81 PY - 2023/// CY - Boston PB - De Gruyter KW - Group theory KW - Geometry KW - Mathematical analysis KW - Homogeneous spaces KW - Geodesics KW - Dynkin diagrams KW - Point and space groups KW - Weyl group N1 - Includes bibliographical references and index; Professionals, researchers and students in Physics and Mathematics N2 - 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 UR - https://www.degruyter.com/document/doi/10.1515/9783111201535-toc/pdf UR - https://www.goodreads.com/book/show/149108864-discrete-finite-and-lie-groups?ref=nav_sb_ss_1_13#CommunityReviews ER -