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Discrete, finite and lie groups : comprehensive group theory in geometry and analysis

By: Fré, Pietro GiuseppeMaterial type: TextTextSeries: De Gruyter STEMPublication details: Boston : De Gruyter, 2023. Description: xxii, 508 pagesISBN: 9783111200750Subject(s): Group theory | Geometry | Mathematical analysis | Homogeneous spaces | Geodesics | Dynkin diagrams | Point and space groups | Weyl groupDDC classification: 512.81 Online resources: Table of contents | Reviews Summary: 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.
List(s) this item appears in: Mathematics
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512.81 FRE-D (Browse shelf(Opens below)) Available 26004

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.

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