English

On the unit component of the Newman-Unti group

Group Theory 2023-03-09 v2 Mathematical Physics math.MP

Abstract

In this short note we identify the unit component of the Newman--Unti (NU) group in the fine very strong topology. In previous work, this component has been endowed with an infinite-dimensional Lie group structure, while the full NU-group does not support such a structure.

Keywords

Cite

@article{arxiv.2209.00321,
  title  = {On the unit component of the Newman-Unti group},
  author = {Alexander Schmeding},
  journal= {arXiv preprint arXiv:2209.00321},
  year   = {2023}
}

Comments

4 pages, companion to arXiv:2109.11476, v2: Corrected typographical errors, results remain unchanged