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Ramanujan Type Buildings

Published:2000-12-01
Printed: Dec 2000
• Cristina M. Ballantine
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Abstract

We will construct a finite union of finite quotients of the affine building of the group $\GL_3$ over the field of $p$-adic numbers $\mathbb{Q}_p$. We will view this object as a hypergraph and estimate the spectrum of its underlying graph.
 Keywords: automorphic representations, buildings
 MSC Classifications: 11F70 - Representation-theoretic methods; automorphic representations over local and global fields