Discrete, finite and lie groups : comprehensive group theory in geometry and analysis
Fré, Pietro Giuseppe
Discrete, finite and lie groups : comprehensive group theory in geometry and analysis - Boston : De Gruyter, 2023. - xxii, 508 pages. - De Gruyter STEM .
Includes bibliographical references and index
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.
Professionals, researchers and students in Physics and Mathematics.
9783111200750
Group theory
Geometry
Mathematical analysis
Homogeneous spaces
Geodesics
Dynkin diagrams
Point and space groups
Weyl group
512.81 / FRE-D
Discrete, finite and lie groups : comprehensive group theory in geometry and analysis - Boston : De Gruyter, 2023. - xxii, 508 pages. - De Gruyter STEM .
Includes bibliographical references and index
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.
Professionals, researchers and students in Physics and Mathematics.
9783111200750
Group theory
Geometry
Mathematical analysis
Homogeneous spaces
Geodesics
Dynkin diagrams
Point and space groups
Weyl group
512.81 / FRE-D
