English

Trace class groups: the case of semi-direct products

Representation Theory 2018-01-31 v1 Functional Analysis

Abstract

In this paper we continue the study of groups of trace class and consider in particular the case of semi-direct products. One of the highlights is the theorem saying that the semi-direct product of a semisimple Lie group G and its Lie algebra is a trace class group if and only if G is compact.

Keywords

Cite

@article{arxiv.1801.09930,
  title  = {Trace class groups: the case of semi-direct products},
  author = {Gerrit van Dijk},
  journal= {arXiv preprint arXiv:1801.09930},
  year   = {2018}
}

Comments

20 pages, comments are welcome

R2 v1 2026-06-23T00:03:16.139Z