Paul Schwahn on Nostr: There's also a classification of subalgebras inside exceptional Jordan algebras by ...

There's also a classification of subalgebras inside exceptional Jordan algebras by Racine (Journal of Algebra 46, pp. 12-21, 1977, https://doi.org/10.1016/0021-8693(77)90391-x). But I don't understand what's happening there. In particular I don't understand whether with unital subalgebra they mean that the subalgebra has a unit, or that the unit of the larger algebra also lies in the subalgebra - the latter is something I would like to rule out for subalgebras of type 𝔥₂(𝕆).