• Corpus ID: 118396896

Automorphic representations and harmonic cochains for $GL_{n+1}$

@article{Amrane2010AutomorphicRA,
  title={Automorphic representations and harmonic cochains for \$GL\_\{n+1\}\$},
  author={Yacine Ait Amrane},
  journal={arXiv: Representation Theory},
  year={2010}
}
Let $K$ be a global field of positive characteristic. Let $\infty$ be a fixed place of $K$. This paper gives an explicit isomorphism between the space of automorphic forms (resp. cusp forms) for $GL_{n+1}(K)$ that transform like the special representations and certain spaces of harmonic cochains (resp. those with finite support) defined on the Bruhat-Tits building of $GL_{n+1}(K_\infty)$. 

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