Compactifications of Symmetric Spaces

Author: Yves Guivarc'h
Publisher: Springer Science & Business Media
ISBN: 1461224527
Format: PDF, Kindle
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The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from the points of view of representation theory, geometry, and random walks. This work is devoted to the study of the interrelationships among these various compactifications and, in particular, focuses on the martin compactifications. It is the first exposition to treat compactifications of symmetric spaces systematically and to uniformized the various points of view. The work is largely self-contained, with comprehensive references to the literature. It is an excellent resource for both researchers and graduate students.

Lie Theory

Author: Jean-Philippe Anker
Publisher: Springer Science & Business Media
ISBN: 081764430X
Format: PDF, ePub, Docs
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* Focuses on two fundamental questions related to semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications, and branching laws for unitary representations * Wide applications of compactification techniques * Concrete examples and relevant exercises engage the reader * Knowledge of basic representation theory of Lie groups, semisimple Lie groups and symmetric spaces is required

Compactifications of Symmetric and Locally Symmetric Spaces

Author: Armand Borel
Publisher: Springer Science & Business Media
ISBN: 0817644660
Format: PDF
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Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology