English

A simple proof that $C^{\infty}({\bf R}^n,U(1))$ does not have a Haar measure

High Energy Physics - Theory 2007-05-23 v1

Abstract

We give a simple proof that there does not exist a Haar measure on the group C(Rn,U(1))C^{\infty}({\bf R}^n,U(1)).

Keywords

Cite

@article{arxiv.hep-th/0105150,
  title  = {A simple proof that $C^{\infty}({\bf R}^n,U(1))$ does not have a Haar measure},
  author = {Wei-Min Sun and Xiang-Song Chen and Fan Wang},
  journal= {arXiv preprint arXiv:hep-th/0105150},
  year   = {2007}
}

Comments

Revtex, 2 pages