English

Irreducibility results for equivariant $\mathcal{D}$-modules on rigid analytic spaces

Number Theory 2025-01-15 v1

Abstract

We prove a general irreducibility result for geometrically induced coadmissible equivariant D\mathcal{D}-modules on rigid analytic spaces. As an application, we geometrically reprove the irreducibility of certain locally analytic representations previously constructed by Orlik-Strauch.

Keywords

Cite

@article{arxiv.2501.07667,
  title  = {Irreducibility results for equivariant $\mathcal{D}$-modules on rigid analytic spaces},
  author = {Konstantin Ardakov and Tobias Schmidt},
  journal= {arXiv preprint arXiv:2501.07667},
  year   = {2025}
}

Comments

56 pages

R2 v1 2026-06-28T21:05:13.075Z