Abstract
In this paper, we obtain new descriptions of the two exceptional bounded symmetric domains. The descriptions are easy to use because they are phrased in terms of numerical inequalities rather than positive definiteness of operators on ℂ16 or ℂ27. Actually, we obtain simplified descriptions in complex euclidean space forall the natural group orbits in the two compact exceptional hermitian symmetric spaces, not just the two open orbits corresponding to the bounded symmetric domains. The methods used here also lead directly to descriptions of the holomorphic arc components of the orbits, eliminating the need for the special indirect approach used in [2] to handle certain of the holomorphic arc components.
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Drucker, D. Simplified descriptions of the exceptional bounded symmetric domains. Geom Dedicata 10, 1–29 (1981). https://doi.org/10.1007/BF01447407
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DOI: https://doi.org/10.1007/BF01447407