English

Green Functions in Small Characteristic

Representation Theory 2025-05-12 v3

Abstract

The values of the ordinary Green functions are known for almost all groups of Lie type, a long term achievement by various authors. In this note we solve the last open cases, which are for exceptional groups E8(q)E_8(q) where qq is a power of 22, 33 or 55.

Cite

@article{arxiv.2403.18190,
  title  = {Green Functions in Small Characteristic},
  author = {Frank Lübeck},
  journal= {arXiv preprint arXiv:2403.18190},
  year   = {2025}
}

Comments

Corrected a few misprints in the previous revision (most importantly some wrong indices in the last two subsections)

R2 v1 2026-06-28T15:34:56.441Z