Exceptional symmetric domains
arXiv:0801.4076
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.
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