English

Invariant automatic continuity for compact connected simple Lie groups

Group Theory 2018-11-13 v1

Abstract

In this note we prove that a homomorphism from a compact connected simple Lie group with the norm topology to any separable SIN group is automatically continuous. This generalizes a result by Dowerk and Thom. Further, we prove some elementary characterizations of invariant automatic continuity.

Keywords

Cite

@article{arxiv.1811.04618,
  title  = {Invariant automatic continuity for compact connected simple Lie groups},
  author = {Laurens Diels and Philip A. Dowerk},
  journal= {arXiv preprint arXiv:1811.04618},
  year   = {2018}
}

Comments

11 pages

R2 v1 2026-06-23T05:12:20.944Z