Lattice chain models for affine buildings of classical type

被引：21
作者：
Abramenko, P
Nebe, G
机构：
[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany
[2] Univ Ulm, Abt Reine Math, D-89069 Ulm, Germany
来源：
MATHEMATISCHE ANNALEN | 2002年 / 322卷 / 03期
关键词：
D O I：
10.1007/s002080200004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A concrete lattice chain model for the buildings of the classical groups over non archimedean complete skew fields is given. The building axioms are proved in a uniform way using hereditary orders with involution instead of lattice chains.
引用
收藏
页码：537 / 562
页数：26
相关论文
共 23 条
[1]   WALLS IN COXETER COMPLEXES [J].
ABRAMENKO, P .
GEOMETRIAE DEDICATA, 1994, 49 (01) :71-84
[2]  
BROWN KS, 1989, BUILDINGS
[3]  
BRUHAT F, 1987, B SOC MATH FR, V115, P141
[4]  
BRUHAT F, 1984, B SOC MATH FR, V112, P259
[5]  
Bruhat T., 1984, Publ. Math. Inst. Hautes Etudes Sci., V60, P5
[6]  
Bruhat T., 1972, Publications Mathematiques de l'I.H.E.S, V41, P5
[7]  
Dress A. W. M., 1987, AEQUATIONES MATH, V34, P112, DOI [DOI 10.1007/BF01840131, DOI 10.1007/BF0]
[8]  
Garrett P., 1997, BUILDINGS CLASSICAL
[9]  
GRAYSON DR, 1980, SPRINGER LECT NOTES, V966, P69
[10]  
Jacobson N., 1964, AMS C PUBLICATIONS, V37
123