Geometric and Topological Aspects of Coxeter Groups and Buildings

  • Anne Thomas

    The University of Sydney, Australia
Geometric and Topological Aspects of Coxeter Groups and Buildings cover
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FrontmatterDownload pp. i–v
AcknowledgementsDownload p. vii
ContentsDownload pp. ix–x
IntroductionDownload pp. xi–xii
Part I Coxeter groupsp. 1
1Examples and motivationpp. 3–20
2Some combinatorial theory of Coxeter groupspp. 21–34
3The Tits representationpp. 35–46
4The basic construction of a geometric realisationpp. 47–60
5The Davis complexpp. 61–89
Part II Buildingsp. 91
6Buildings as unions of apartmentspp. 93–103
7Buildings as chamber systemspp. 105–114
8Retractionspp. 115–119
9BN-pairspp. 121–136
10Exotic buildingspp. 137–140
Bibliographypp. 141–143
Indexpp. 145–147