Lie Theory : Unitary Representations and Compactifications of Symmetric Spaces
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Lie Theory : Unitary Representations and Compactifications of Symmetric Spaces
Resource Information
The work Lie Theory : Unitary Representations and Compactifications of Symmetric Spaces represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Lie Theory : Unitary Representations and Compactifications of Symmetric Spaces
 Title remainder
 Unitary Representations and Compactifications of Symmetric Spaces
 Statement of responsibility
 edited by JeanPhilippe Anker, Bent Orsted
 Language

 eng
 eng
 Summary
 Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, selfcontained volumes, under the general title Lie Theory, feature survey work and original results by wellestablished researchers in key areas of semisimple Lie theory. Unitary Representations and Compactifications of Symmetric Spaces, a selfcontained work by A. Borel, L. Ji, and T. Kobayashi, focuses on two fundamental questions in the theory of semisimple Lie groups: the geometry of Riemannian symmetric spaces and their compactifications; and branching laws for unitary representations, i.e., restricting unitary representations to (typically, but not exclusively, symmetric) subgroups and decomposing the ensuing representations into irreducibles. Ji's introductory chapter motivates the subject of symmetric spaces and their compactifications with carefully selected examples. A discussion of Satake and Furstenberg boundaries and a survey of the geometry of Riemannian symmetric spaces in general provide a good background for the second chapter, namely, the Borel–Ji authoritative treatment of various types of compactifications useful for studying symmetric and locally symmetric spaces. Borel–Ji further examine constructions of Oshima, De Concini, Procesi, and Melrose, which demonstrate the wide applicability of compactification techniques. Kobayashi examines the important subject of branching laws. Important concepts from modern representation theory, such as Harish–Chandra modules, associated varieties, microlocal analysis, derived functor modules, and geometric quantization are introduced. Concrete examples and relevant exercises engage the reader. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups and symmetric spaces is required of the reader
 Dewey number

 512.482
 516.3/62
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 OgSEEETzA2M
 qPvjq7qMh_U
 Language note
 English
 LC call number

 QA252.3
 QA387
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Progress in Mathematics,
 Series volume
 229
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Context of Lie Theory : Unitary Representations and Compactifications of Symmetric SpacesWork of
 Lie Theory : Unitary Representations and Compactifications of Symmetric Spaces, edited by JeanPhilippe Anker, Bent Orsted, (electronic resource)
 Lie Theory : Unitary Representations and Compactifications of Symmetric Spaces, edited by JeanPhilippe Anker, Bent Orsted, (electronic resource)
 Lie Theory : Unitary Representations and Compactifications of Symmetric Spaces, edited by JeanPhilippe Anker, Bent Orsted, (electronic resource)
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