A Note on the Peter-Weyl Theorem
Representation Theory
2026-03-10 v1 Mathematical Physics
General Topology
Group Theory
math.MP
Abstract
We introduce some classical concepts in the representation theory of compact groups, in order to use them for a new generalization of the Peter-Weyl Theorem. We mostly deal with functions on locally compact groups possessing large nontrivial compact open subgroups: in fact, we show that these functions can be approximated via others which are locally identical to the well known representative functions.
Cite
@article{arxiv.2603.07105,
title = {A Note on the Peter-Weyl Theorem},
author = {Y. Bavuma and E. Stevenson and F. G. Russo},
journal= {arXiv preprint arXiv:2603.07105},
year = {2026}
}
Comments
11 pages, 4 figures