Local-to-global rigidity of Bruhat-Tits buildings
Local-to-global rigidity of Bruhat-Tits buildings
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Bruhat-Tits 建筑的局部到全局刚性
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
R. Tessera
中科院分区：
文献类型：
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作者：
M. Salle;R. Tessera
一个点传递图X称为局部到整体刚性图，如果存在R使得所有其它半径为R的球与X中半径为R的球等距的图都被X覆盖.让$geq 4$。证明了宽波浪号A_{d-1}型仿射Bruhat-Tits建筑物的1-骨架是局部到整体刚性的当且仅当底层场具有特征0。例如，$SL（d，F_p（（t）$的Bruhat-Tits建筑不是局部到全局刚性的，而$SL（d，Q_p）$的Bruhat-Tits建筑是局部到全局刚性的。
A vertex-transitive graph X is called local-to-global rigid if there exists R such that every other graph whose balls of radius R are isometric to the balls of radius R in X is covered by X. Let $dgeq 4$. We show that the 1-skeleton of an affine Bruhat-Tits building of type $widetilde A_{d-1}$ is local-to-global rigid if and only if the underlying field has characteristic 0. For example the Bruhat-Tits building of $SL(d,F_p((t)))$ is not local-to-global rigid, while the Bruhat-Tits building of $SL(d,Q_p)$ is local-to-global rigid.
影响因子：
1
作者：
Georgakopoulos A
通讯作者：
Georgakopoulos A