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 automorphic representations, buildings

MSC Classifications:

11F70 show english descriptions Representation-theoretic methods; automorphic representations over local and global fields 11F70 - Representation-theoretic methods; automorphic representations over local and global fields

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