000			03949nam a22005415i 4500
001			978-0-8176-4430-7
003			DE-He213
005			20251006084434.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780817644307
020			_a99780817644307
024	7		_a10.1007/b139076 _2doi
082	0	4	_a512.55 _223
082	0	4	_a512.482 _223
100	1		_aAnker, Jean-Philippe. _eeditor.
245	1	0	_aLie Theory _h[electronic resource] : _bUnitary Representations and Compactifications of Symmetric Spaces / _cedited by Jean-Philippe Anker, Bent Orsted.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2005.
300			_aX, 207 p. 20 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v229
505	0		_ato Symmetric Spaces and Their Compactifications -- Compactifications of Symmetric and Locally Symmetric Spaces -- Restrictions of Unitary Representations of Real Reductive Groups.
520			_aSemisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. Unitary Representations and Compactifications of Symmetric Spaces, a self-contained 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.
650		0	_aMATHEMATICS.
650		0	_aGROUP THEORY.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aHARMONIC ANALYSIS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aGLOBAL DIFFERENTIAL GEOMETRY.
650	1	4	_aMATHEMATICS.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aDIFFERENTIAL GEOMETRY.
650	2	4	_aSEVERAL COMPLEX VARIABLES AND ANALYTIC SPACES.
650	2	4	_aABSTRACT HARMONIC ANALYSIS.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
700	1		_aOrsted, Bent. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817635268
830		0	_aProgress in Mathematics ; _v229
856	4	0	_uhttp://dx.doi.org/10.1007/b139076 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59631 _d59631