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Ramanujan Type Buildings

Published online by Cambridge University Press:  20 November 2018

Cristina M. Ballantine
Cristina M. Ballantine*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario, M5A 3G3 Department of Mathematics, Bowdoin College, Brunswick, Maine 04011, USA email: cballant@bowdoin.edu
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Abstract

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We will construct a finite union of finite quotients of the affine building of the group $\text{G}{{\text{L}}_{3}}$ 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

11F70automorphic representationsbuildings
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 52 , Issue 6 , 01 December 2000 , pp. 1121 - 1148
Copyright
Copyright © Canadian Mathematical Society 2000

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