000			02097cam a22002777a 4500
001			13886786
005			20250611152621.0
008			050302s2005 nyua b 001 0 eng d
020			_a9783642079221
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB27 P5 NBHM _qCSL
100	1		_aBjörner, Anders. _eauthor. _9812629
245	1	0	_aCombinatorics of coxeter groups
260			_aNew York : _bSpringer, _c2005.
300			_axii, 363 p. : _bill. ; _c25 cm.
440		0	_aGraduate texts in mathematics ; _v231 _9812630
504			_aIncludes bibliographical references (p. [323]-351) and indexes.
520			_aCoxeter groups are of central importance in several areas of algebra, geometry, and combinatorics. This clear and rigorous exposition focuses on the combinatorial aspects of Coxeter groups, such as reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and connections with combinatorial representation theory. While Coxeter groups have already been exposited from algebraic and geometric perspectives, this text is the first one to focus mainly on the combinatorial aspects of Coxeter groups. The first part of the book provides a self-contained introduction to combinatorial Coxeter group theory. The emphasis here is on the combinatorics of reduced decompositions, Bruhat order, weak order, and some aspects of root systems. The second part deals with more advanced topics, such as Kazhdan-Lusztig polynomials and representations, enumeration, and combinatorial descriptions of the classical finite and affine Weyl groups. A wide variety of exercises, ranging from easy to quite difficult are also included. The book will serve graduate students as well as researchers.
650		0	_aCoxeter groups. _9812543
650		0	_aCombinatorial group theory. _9812631
650		0	_arepresentation theory. _9515466
650		0	_aCombinatorics _9436010
700	1		_aBrenti, Francesco, _eco-author. _9812632
942			_2CC _n0 _cTEXL _hB27 P5 NBHM
999			_c1431619 _d1431619