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On some nonadmissible smooth irreducible representations of $\mathrm{GL}_2$

Representation Theory 2019-06-25 v3 Number Theory

Abstract

Let p>2p>2 be a prime. We give examples of smooth absolutely irreducible representations of GL2(Qp3)\mathrm{GL}_2(\mathbb{Q}_{p^3}) over Fp3\mathbb{F}_{p^3} which are not admissible.

Keywords

Cite

@article{arxiv.1809.10247,
  title  = {On some nonadmissible smooth irreducible representations of $\mathrm{GL}_2$},
  author = {Daniel Le},
  journal= {arXiv preprint arXiv:1809.10247},
  year   = {2019}
}

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8 pages