so let's consider the derived algebroid of the algebroid of (say for example...) representations of the quiver a->b->c and see whether we can find inside of it a nice copy of the algebroid of representations of the quiver a->b<-c ... or something like that...

maybe i should go back and take another look at ram's paper on "the connection between representations of quivers and perverse sheaves" (or something like that) ... i found it somewhat annoying (though interesting) the last time that i looked at it, but that was quite a while ago and it seems possible that my perspective might have changed enough to change my opinion about that...