English

On some crystalline representations of $GL_2(Q_p)$

Representation Theory 2009-02-09 v2 Number Theory

Abstract

We show that the universal unitary completion of certain locally algebraic representation of G:=\GL2(\Qp)G:=\GL_2(\Qp) with p>2p>2 is non-zero, topologically irreducible, admissible and corresponds to a 2-dimensional crystalline representation with non-semisimple Frobenius via the pp-adic Langlands correspondence for GG.

Keywords

Cite

@article{arxiv.0804.1942,
  title  = {On some crystalline representations of $GL_2(Q_p)$},
  author = {Vytautas Paskunas},
  journal= {arXiv preprint arXiv:0804.1942},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T10:30:04.284Z