The extremal symmetry of arithmetic simplicial complexes

Details The extremal symmetry of arithmetic simplicial complexes The extremal symmetry of arithmetic simplicial complexes

2010-06-18

arxiv.org/abs/1006.3730v1

Mathematics

Group Theory

17 pages

Scientific paper

Let $G$ be a higher-rank semisimple Lie group over a nonarchimedean local field, for example $G={\rm PGL}(n,Q_P)$. To any lattice $L$ in $G$ there is an associated simplicial complex $B_L$, given by the quotient by $L$ of the Bruhat-Tits building associated to $G$. In this paper prove that the simplicial structure $B_L$ exhibits some remarkable and extremal symmetry properties, in particular when compared to any other simplicial structure on (any cover of) $B_L$.

Affiliated with

Also associated with

No associations

Rating

The extremal symmetry of arithmetic simplicial complexes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The extremal symmetry of arithmetic simplicial complexes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The extremal symmetry of arithmetic simplicial complexes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-260997