Birkhoff decompositions for loop groups with coefficient algebras
Group Theory
2022-06-24 v1
Abstract
Starting with a finite-dimensional complex Lie algebra, we extend scalars using suitable commutative topological algebras. We study Birkhoff decompositions for the corresponding loop groups. Some results remain valid for loop groups with valued in complex Banach-Lie groups.
Cite
@article{arxiv.2206.11711,
title = {Birkhoff decompositions for loop groups with coefficient algebras},
author = {Helge Glockner},
journal= {arXiv preprint arXiv:2206.11711},
year = {2022}
}
Comments
28 pages, LaTeX