Holomorphic completions of affine Kac-Moody groups
Functional Analysis
2013-05-21 v1
Abstract
We construct holomorphic loop groups and their associated affine Kac-Moody groups and prove that they are tame Fr\'echet manifolds. These results form the functional analytic basis for the theory of affine Kac-Moody symmetric spaces, presented first in the authors thesis. Our approach also solves completely the problem of complexification of loop groups; it allows a complete description of complex Kac-Moody groups and their non-compact real forms.
Keywords
Cite
@article{arxiv.1305.4295,
title = {Holomorphic completions of affine Kac-Moody groups},
author = {Walter Freyn},
journal= {arXiv preprint arXiv:1305.4295},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1109.2837