English

On an algorithm to compute derivatives

Representation Theory 2020-06-05 v1 Number Theory

Abstract

In this paper, we complete Jantzen's algorithm to compute the highest derivatives of irreducible representations of pp-adic odd special orthogonal groups or symplectic groups. As an application, we give some examples of the Langlands data of the Aubert duals of irreducible representations, which are in the integral reducibility case.

Keywords

Cite

@article{arxiv.2006.02638,
  title  = {On an algorithm to compute derivatives},
  author = {Hiraku Atobe},
  journal= {arXiv preprint arXiv:2006.02638},
  year   = {2020}
}

Comments

35 pages

R2 v1 2026-06-23T16:02:44.788Z