Kooperativer Bibliotheksverbund

UID:

Umfang: 1 Online-Ressource (XXII, 508 p.)

Ausgabe: Reproduktion Issued also in print

ISBN: 9783111201535

Serie: De Gruyter STEM

Inhalt: 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

Anmerkung: Frontmatter , Preface , Some remarks about notations , Contents , 1 Groups: the intuitive notion , 2 Fundamental notions of algebra , 3 Groups: noticeable examples and some developments , 4 Basic elements of finite group theory , 5 Finite subgroups of SO(3): the ADE classification , 6 Manifolds and Lie groups , 7 The relation between Lie groups and Lie algebras , 8 Crystallographic groups and group extensions , 9 Monodromy groups of differential equations , 10 Structure of Lie algebras , 11 Root systems and their classification , 12 Lie algebra representation theory , 13 Exceptional Lie algebras , 14 In depth study of a simple group , 15 A primary on the theory of connections and metrics , 16 Isometries and the geometry of coset manifolds , 17 Functional spaces and non-compact Lie algebras , 18 Harmonic analysis and conclusive remarks , A Available MATHEMATICA NoteBooks written by the author , Bibliography , About the author , Index , Issued also in print , In English

Weitere Ausg.: ISBN 9783111202778

Weitere Ausg.: ISBN 9783111200750

Weitere Ausg.: Erscheint auch als print ISBN 9783111200750

Sprache: Englisch

DOI: 10.1515/9783111201535

URL: lizenzpflichtig

URL: lizenzpflichtig

URL: Cover

Mehr zum Autor: Fré, Pietro 1952-

UID:

Umfang: 1 online resource (XXII, 508 p.)

ISBN: 9783111201535

Serie: De Gruyter STEM

Inhalt: 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.

Anmerkung: Frontmatter -- , Preface -- , Some remarks about notations -- , Contents -- , 1 Groups: the intuitive notion -- , 2 Fundamental notions of algebra -- , 3 Groups: noticeable examples and some developments -- , 4 Basic elements of finite group theory -- , 5 Finite subgroups of SO(3): the ADE classification -- , 6 Manifolds and Lie groups -- , 7 The relation between Lie groups and Lie algebras -- , 8 Crystallographic groups and group extensions -- , 9 Monodromy groups of differential equations -- , 10 Structure of Lie algebras -- , 11 Root systems and their classification -- , 12 Lie algebra representation theory -- , 13 Exceptional Lie algebras -- , 14 In depth study of a simple group -- , 15 A primary on the theory of connections and metrics -- , 16 Isometries and the geometry of coset manifolds -- , 17 Functional spaces and non-compact Lie algebras -- , 18 Harmonic analysis and conclusive remarks -- , A Available MATHEMATICA NoteBooks written by the author -- , Bibliography -- , About the author -- , Index , Issued also in print. , In English.

Weitere Ausg.: ISBN 9783111202778

Weitere Ausg.: ISBN 9783111200750

Sprache: Englisch

DOI: 10.1515/9783111201535

URL: https://doi.org/10.1515/9783111201535

URL: https://www.degruyter.com/isbn/9783111201535

URL: https://doi.org/10.1515/9783111201535

URL: https://www.degruyter.com/isbn/9783111201535