Ramanujan Type Buildings

Author:

Ballantine Cristina M.

Abstract

AbstractWe will construct a finite union of finite quotients of the affine building of the group GL3 over the field of p-adic numbers p. We will view this object as a hypergraph and estimate the spectrum of its underlying graph.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the spectrum and linear programming bound for hypergraphs;European Journal of Combinatorics;2022-08

2. Ramanujan Complexes and Golden Gates in PU(3);Geometric and Functional Analysis;2022-03-26

3. The Space $$\mathcal{P}_{n}$$ of Positive n × n Matrices;Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations;2016

4. Ramanujan complexes and high dimensional expanders;Japanese Journal of Mathematics;2014-07-11

5. Overlap properties of geometric expanders;Journal für die reine und angewandte Mathematik (Crelles Journal);2012-01

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