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arxiv: 0801.4076 · v2 · submitted 2008-01-27 · 🧮 math.CV · math.RA

Exceptional symmetric domains

Guy Roos (St Petersburg , Russian Federation) This is my paper
classification 🧮 math.CV math.RA
keywords exceptionaldomainssymmetricboundedchaptergivejordansystems
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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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