Exceptional symmetric domains

Details Exceptional symmetric domains Exceptional symmetric domains

2008-01-27

arxiv.org/abs/0801.4076v2

Gilligan, Bruce (ed.) et al., Symmetries in complex analysis. AMS, Contemporary Mathematics 468, 157-189 (2008).

Mathematics

Complex Variables

Lectures at the Workshop "Several Complex Variables, Analysis on Complex Lie groups and Homogeneous Spaces", held at Zhejiang

Scientific paper

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.

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