000			03520nam a22005055i 4500
001			978-0-387-78835-7
003			DE-He213
005			20161121231210.0
007			cr nn 008mamaa
008			110402s2008 xxu| s |||| 0|eng d
020			_a9780387788357 _9978-0-387-78835-7
024	7		_a10.1007/978-0-387-78835-7 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.2 _223
100	1		_aAbramenko, Peter. _eauthor.
245	1	0	_aBuildings _h[electronic resource] : _bTheory and Applications / _cby Peter Abramenko, Kenneth S. Brown.
264		1	_aNew York, NY : _bSpringer New York, _c2008.
300			_aXXII, 754 p. 100 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v248
505	0		_aFinite Reflection Groups -- Coxeter Groups -- Coxeter Complexes -- Buildings as Chamber Complexes . -- Buildings as W-Metric Spaces -- Buildings and Groups -- Root Groups and the Moufang Property . -- Moufang Twin Buildings and RGD Systems -- The Classification of Spherical Buildings -- Euclidean and Hyperbolic Reflection Groups -- Euclidean Buildings . -- Buildings as Metric Spaces -- Applications to the Cohomology of Groups -- Other Applications.
520			_aThis book treats Jacques Tits's beautiful theory of buildings, making that theory accessible to readers with minimal background. It includes all the material of the earlier book Buildings by the second-named author, published by Springer-Verlag in 1989, which gave an introduction to buildings from the classical (simplicial) point of view. This new book also includes two other approaches to buildings, which nicely complement the simplicial approach: On the one hand, buildings may be viewed as abstract sets of chambers with a Weyl-group-valued distance function; this point of view has become increasingly important in the theory and applications of buildings. On the other hand, buildings may be viewed as metric spaces. Beginners can still use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher. There are several paths through the book, so that readers may choose to concentrate on one particular approach. The pace is gentle in the elementary parts of the book, and the style is friendly throughout. All concepts are well motivated. There are thorough treatments of advanced topics such as the Moufang property, with arguments that are much more detailed than those that have previously appeared in the literature. This book is suitable as a textbook, with many exercises, and it may also be used for self-study.
650		0	_aMathematics.
650		0	_aAlgebraic geometry.
650		0	_aGroup theory.
650		0	_aTopological groups.
650		0	_aLie groups.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aTopological Groups, Lie Groups.
700	1		_aBrown, Kenneth S. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387788340
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v248
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-78835-7
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c510013 _d510013