Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations
Group Theory
2022-12-21 v3 Algebraic Geometry
Abstract
We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations.
Keywords
Cite
@article{arxiv.2105.00156,
title = {Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations},
author = {Jun Morita and Arturo Pianzola and Taiki Shibata},
journal= {arXiv preprint arXiv:2105.00156},
year = {2022}
}
Comments
39 pages; to appear in Mathematical Journal of Okayama University