Exceptional symmetric domains
Complex Variables
2008-12-13 v2 Rings and Algebras
Abstract
We give the presentation of exceptional bounded symmetric domains using the Albert algebra and exceptional Jordan triple systems. The first chapter is devoted to Cayley-Graves algebras, the second to exceptional Jordan triple systems. In the third chapter, we give a geometric description of the two exceptional bounded symmetric domains, their boundaries and their compactification.
Cite
@article{arxiv.0801.4076,
title = {Exceptional symmetric domains},
author = {Guy Roos},
journal= {arXiv preprint arXiv:0801.4076},
year = {2008}
}
Comments
Lectures at the Workshop "Several Complex Variables, Analysis on Complex Lie groups and Homogeneous Spaces", held at Zhejiang University, Hangzhou, China, Oct. 17-29, 2005. 36 pages. Version 2: minor corrections