English

Sur la pr\'esentation des repr\'esentations supersinguli\`eres de $\mathrm{GL}_2(F)$

Representation Theory 2023-04-25 v2 Number Theory

Abstract

Let FF be a quadratic extension of Qp\mathbb{Q}_p. We prove that smooth irreducible supersingular representations with central character of GL2(F)\mathrm{GL}_2(F) are not of finite presentation.

Keywords

Cite

@article{arxiv.1201.4255,
  title  = {Sur la pr\'esentation des repr\'esentations supersinguli\`eres de $\mathrm{GL}_2(F)$},
  author = {Benjamin Schraen},
  journal= {arXiv preprint arXiv:1201.4255},
  year   = {2023}
}

Comments

19 pages, minor mistakes corrected, minor changes of notation