English

On Extensions of supersingular representations of ${\rm SL}_2(\mathbb{Q}_p)$

Representation Theory 2019-08-13 v1 Number Theory

Abstract

In this note for p>5p>5 we calculate the dimensions of ExtSL2(Qp)1(τ,σ){\rm Ext}^1_{{\rm SL}_2(\mathbb{Q}_p)}(\tau, \sigma) for any two irreducible supersingular representations τ\tau and σ\sigma of SL2(Qp){\rm SL}_2(\mathbb{Q}_p).

Keywords

Cite

@article{arxiv.1612.01469,
  title  = {On Extensions of supersingular representations of ${\rm SL}_2(\mathbb{Q}_p)$},
  author = {Santosh Nadimpalli},
  journal= {arXiv preprint arXiv:1612.01469},
  year   = {2019}
}

Comments

9 pages. Preliminary version