Abstract
We study structurable algebras and their associated Freudenthal triple systems over commutative rings. The automorphism groups of these triple systems are exceptional groups of type E7, and we realize groups of type E6 as centralizers. When 6 is invertible, we further give a geometric description of homogeneous spaces of type E7/E6, and show that they parametrize principal isotopes of Brown algebras. As opposed to the situation over fields, we show that such isotopes may be non-isomorphic.
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