ScalingStacks

The Rouquier complexes ([000Z]) are translated into the diagrammatics as where we encode \(s_i\) by blue. (Instead of remembering the grading shifts from ([000Z]), it is more convenient in the diagrammatic setting to consider the maps as homogeneous of degree one). To keep track of the monoidal unit (corresponding to \(R\)) appearing in the complexes, we mostly indicate them by a colored dot as shown in ([0024]).