??maybe try reviewing how to derive kaleidoscope mirror reflection matrix from cartan matrix, and then try to categorify that somehow??
??also try to understand some ideas that alex mentioned coming from thind?? or something??
??something about root-string interpretation of cartan matrix ... ???sa bilinear form between roots and co-roots, os????.... asf os...
??something about "big picture" stuff?? ... doctrines... derived category ... "duality" ... distributivity.... htpy limits ct htpy colimits... flat ... triangulated ... ???or something.... and so forth...
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