Ramanujan Complexes of Type $\tilde{A_d}$

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
32 pages

Keywords

Representation Theory, Group Theory, 22E55, 20E42

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71520

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406208
 http://arxiv.org/abs/math/0406208

Collections

arXiv