000			04041nam a22005535i 4500
001			978-0-8176-4466-6
003			DE-He213
005			20251006084435.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780817644666
020			_a99780817644666
024	7		_a10.1007/0-8176-4466-0 _2doi
082	0	4	_a512.55 _223
082	0	4	_a512.482 _223
100	1		_aBorel, Armand. _eauthor.
245	1	0	_aCompactifications of Symmetric and Locally Symmetric Spaces _h[electronic resource] / _cby Armand Borel, Lizhen Ji.
264		1	_aBoston, MA : _bBirkhäuser Boston, _c2006.
300			_aXIII, 479 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematics: Theory & Applications
505	0		_aCompactifications of Riemannian Symmetric Spaces -- Review of Classical Compactifications of Symmetric Spaces -- Uniform Construction of Compactifications of Symmetric Spaces -- Properties of Compactifications of Symmetric Spaces -- Smooth Compactifications of Semisimple Symmetric Spaces -- Smooth Compactifications of Riemannian Symmetric Spaces G/K -- Semisimple Symmetric Spaces G/H -- The Real Points of Complex Symmetric Spaces Defined over ? -- The DeConcini-Procesi Compactification of a Complex Symmetric Space and Its Real Points -- The Oshima-Sekiguchi Compactification of G/K and Comparison with (?) -- Compactifications of Locally Symmetric Spaces -- Classical Compactifications of Locally Symmetric Spaces -- Uniform Construction of Compactifications of Locally Symmetric Spaces -- Properties of Compactifications of Locally Symmetric Spaces -- Subgroup Compactifications of ??G -- Metric Properties of Compactifications of Locally Symmetric Spaces ??X.
520			_aNoncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces. Familiarity with the theory of semisimple Lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. Otherwise, the book is a self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to diverse fields of mathematics.
650		0	_aMATHEMATICS.
650		0	_aGEOMETRY, ALGEBRAIC.
650		0	_aTOPOLOGICAL GROUPS.
650		0	_aGEOMETRY.
650		0	_aNUMBER THEORY.
650		0	_aALGEBRAIC TOPOLOGY.
650	1	4	_aMATHEMATICS.
650	2	4	_aTOPOLOGICAL GROUPS, LIE GROUPS.
650	2	4	_aALGEBRAIC TOPOLOGY.
650	2	4	_aNUMBER THEORY.
650	2	4	_aGEOMETRY.
650	2	4	_aALGEBRAIC GEOMETRY.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
700	1		_aJi, Lizhen. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817632472
830		0	_aMathematics: Theory & Applications
856	4	0	_uhttp://dx.doi.org/10.1007/0-8176-4466-0 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59656 _d59656