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Jordan Structures in Geometry and Analysis.

By: Chu, Cho-HoMaterial type: TextTextSeries: Cambridge Tracts in Mathematics, 190Publication details: Cambridge : Cambridge University Press, 2011. Description: 1 online resource (274 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781139204996; 1139204998; 9781139206570; 1139206575; 9781139203593; 1139203592; 9781139060165; 1139060163Subject(s): Functional analysis | Geometry, Differential | Jordan algebras | Lie algebras | MATHEMATICS -- Algebra -- Intermediate | Functional analysis | Geometry, Differential | Jordan algebras | Lie algebrasGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: No titleDDC classification: 512.48 LOC classification: QA252.5 | .C54 2012ebOnline resources: Click here to access online
Contents:
Cover; CAMBRIDGE TRACTS IN MATHEMATICS; Cover; Title; Copyright; Dedication; Contents; Preface; 1 Jordan and Lie theory; 1.1 Jordan algebras; 1.2 Jordan triple systems; 1.3 Lie algebras and the Tits-Kantor-Koecher construction; 1.4 Matrix Lie groups; Notes; 2 Jordan structures in geometry; 2.1 Banach manifolds and Lie groups; 2.2 Riemannian manifolds; 2.3 Jordan algebras and Riemannian symmetric spaces; 2.4 Jordan triples and Riemannian symmetric spaces; 2.5 Jordan triples and symmetric domains; Notes; 3 Jordan structures in analysis; 3.1 Banach spaces; 3.2 Holomorphic mappings.
Summary: Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.
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Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

Cover; CAMBRIDGE TRACTS IN MATHEMATICS; Cover; Title; Copyright; Dedication; Contents; Preface; 1 Jordan and Lie theory; 1.1 Jordan algebras; 1.2 Jordan triple systems; 1.3 Lie algebras and the Tits-Kantor-Koecher construction; 1.4 Matrix Lie groups; Notes; 2 Jordan structures in geometry; 2.1 Banach manifolds and Lie groups; 2.2 Riemannian manifolds; 2.3 Jordan algebras and Riemannian symmetric spaces; 2.4 Jordan triples and Riemannian symmetric spaces; 2.5 Jordan triples and symmetric domains; Notes; 3 Jordan structures in analysis; 3.1 Banach spaces; 3.2 Holomorphic mappings.

Print version record.

Includes bibliographical references (pages 251-256) and index.

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