Extensions of locally analytic generalized parabolic Steinberg representations

Yiqin He

Extensions of locally analytic generalized parabolic Steinberg representations

Number Theory 2023-11-03 v3 Representation Theory

Authors: Yiqin He

Abstract

Let $L$ be a finite extension of $\mathbf{Q}_p$ . In this paper, we study the locally $\mathbf{Q}_p$ -analytic generalized parabolic Steinberg representations of $\mathrm{GL}_n(L)$ , and compute the $\mathrm{Ext}$ -groups of locally $\mathbf{Q}_p$ -analytic generalized parabolic Steinberg representations. They carry the Breuil's simple $\mathcal{L}$ -invariants, which arise in the automorphic side of a conjectured $p$ -adic local Langlands correspondence.

Keywords

locally analytic representations generalized parabolic Steinberg representations GL_n Ext-groups L-invariants p-adic local Langlands correspondence

Cite

@article{arxiv.2211.00476,
  title  = {Extensions of locally analytic generalized parabolic Steinberg representations},
  author = {Yiqin He},
  journal= {arXiv preprint arXiv:2211.00476},
  year   = {2023}
}

Comments

58 pages

Extensions of locally analytic generalized parabolic Steinberg representations

Abstract

Keywords

Cite

Comments

Related papers