Exceptional symmetric domains
Guy Roos (St Petersburg, Russian Federation)
TL;DR
This paper presents a detailed study of exceptional bounded symmetric domains, utilizing Albert algebras and Jordan triple systems to describe their structure, boundaries, and compactifications.
Contribution
It introduces a new presentation of exceptional symmetric domains through Albert algebras and Jordan systems, with geometric insights into their boundaries and compactifications.
Findings
Explicit descriptions of exceptional symmetric domains
Geometric characterization of boundaries and compactifications
Connection between algebraic structures and geometric domains
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.
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Taxonomy
TopicsRings, Modules, and Algebras · Enterprise Management and Information Systems · Advanced Theoretical and Applied Studies in Material Sciences and Geometry