Ramanujan Complexes of Type $\tilde{A_d}$

Details Ramanujan Complexes of Type $\tilde{A_d}$ Ramanujan Complexes of Type $\tilde{A_d}$

2004-06-10

arxiv.org/abs/math/0406208v2

Mathematics

Representation Theory

32 pages

Scientific paper

We define and construct Ramanujan complexes. These are simplicial complexes
which are higher dimensional analogues of Ramanujan graphs. They are obtained
as quotients of the buildings of type $\tilde{A}_{d-1}$ associated with
$\operatorname{PGL}_d(F)$ where $F$ is a local field of positive
characteristic.

Affiliated with

Also associated with

No associations

Rating

Ramanujan Complexes of Type $\tilde{A_d}$ 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 Ramanujan Complexes of Type $\tilde{A_d}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ramanujan Complexes of Type $\tilde{A_d}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-668623