On some recent developments in the theory of buildings

被引：0
|
作者：
Remy, Bertrand [1 ]
机构：
[1] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
来源：
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III | 2014年
关键词：
Algebraic; discrete; profinite group; rigidity; linearity; simplicity; building; Bruhat-Tits' theory; Kac-Moody theory; KAC-MOODY GROUPS; TOPOLOGICAL CENTRAL EXTENSIONS; BRUHAT-TITS THEORY; SEMI-SIMPLE GROUPS; FINITENESS PROPERTIES; ARITHMETIC GROUPS; QUASI-ISOMETRIES; BERKOVICHS POINT; LATTICES; COMPACTIFICATIONS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Buildings are cell complexes with so remarkable symmetry properties that many groups from important families act on them. We present some examples of results in Lie theory and geometric group theory obtained thanks to these highly transitive actions. The chosen examples are related to classical and less classical (often non-linear) group-theoretic situations.
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页码：143 / 164
页数：22
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