A while back, I had a bit of a sprawling conversation about certain geometrical oddities over multiple threads at the n-Category Café. I finally got organized enough to gather these notes together, incorporating edits for clarity and recording one construction I haven’t found written in the literature anywhere.
- B. C. Stacey, “Sporadic SICs and Exceptional Lie Algebras”
Sometimes, mathematical oddities crowd in upon one another, and the exceptions to one classification scheme reveal themselves as fellow-travelers with the exceptions to a quite different taxonomy.
UPDATE (30 March 2019): Thanks to a kind offer by John Baez, we’re going through this material step-by-step over at a blog with a community, the n-Category Café: