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Kronecker products. --- Lie groups. --- Representations of groups.

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Ordered algebraic structures --- Lie algebras --- 512.81 --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups --- 512.81 Lie groups --- Lie algebras. --- Lie, Algèbres de. --- Lie, Algèbres de.

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The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on ""Groups and Geometric Analysis"" it supersedes my ""Differential Geometry and Symmetric Spaces,"" published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.

Differential geometry. Global analysis --- Topological groups. Lie groups --- Geometry, Differential --- Lie groups --- Symmetric spaces --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- 512.81 --- 512.81 Lie groups --- Spaces, Symmetric --- Groups, Lie --- Lie algebras --- Topological groups --- Differential geometry --- Geometry, Differential. --- Lie groups. --- Symmetric spaces. --- Analyse harmonique (mathématiques) --- Géometrie différentielle --- Lie, Algèbres de --- Lie, Groupes de

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Differential geometry. Global analysis --- 515.1 --- Topology --- Topological transformation groups. --- Lie groups. --- Manifolds (Mathematics) --- Manifolds (Mathematics). --- 515.1 Topology --- Topological transformation groups --- Lie groups --- Groupes topologiques de transformation --- Groupes de Lie --- Variétés (Mathématiques) --- Transformations, Groupes de --- Variétés (mathématiques) --- Groupes topologiques --- Groupes compacts

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517.1 --- Mathematical analysis --- 517.1 Mathematical analysis --- 517.1 Introduction to analysis --- Introduction to analysis --- 517.1. --- Analyse mathématique --- Semisimple Lie groups --- Groupes de Lie semi-simples --- 517 --- 517.98 --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- 517 Analysis --- Analysis --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- Mathematical analysis. --- Analyse mathématique --- Algèbres normées --- Banach algebras --- Algèbres normées. --- Topologie algébrique --- Opérateurs pseudo-différentiels --- Calcul intégral --- Groupes topologiques --- Topologie algébrique --- Semisimple Lie groups. --- Lie, Groupes de --- Variétés différentiables --- Opérateurs pseudo-différentiels --- Banach algebras. --- Calcul intégral --- Traite d'analyse mathematique --- Analyse sur une variété --- Groupes compacts --- Topologie differentielle --- Equations aux derivees partielles --- Problemes aux limites --- Analyse harmonique