English

Acyclicity Of Broussous-Schneider coefficient systems

Representation Theory 2025-05-27 v2

Abstract

We give a proof of the Acyclicity Conjecture stated by Broussous and Schneider in [BrouSch2017]. As a consequence, we obtain an exact resolution of every admissible representation on each Bernstein block of GL(N){\rm GL}(N) associated to a simple type.

Keywords

Cite

@article{arxiv.2504.11640,
  title  = {Acyclicity Of Broussous-Schneider coefficient systems},
  author = {Javier Navarro},
  journal= {arXiv preprint arXiv:2504.11640},
  year   = {2025}
}

Comments

23 pages

R2 v1 2026-06-28T22:59:49.320Z