Appropriately enough, on the day that I filed my dissertation, a paper went up completing my work on characterizing B2-crystals by local criteria. It's great to see this, since my article proved only half of the desired result. As I said before, it's good to have publicly visible work; if I didn't, I would not have been given due acknowledgment both in the references and the introduction.
Especially exciting is the possibility that the approach taken by V. I. Danilov, A. V. Karzanov, and G. A. Koshevoy might be generalizable to bigger algebras, so we might see a local characterization of G2-crystals sometime next year!
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