A construction of diagrammatic categories from McKay quivers is presented, with a conditional equivalence theorem to the monoidal category of irreducible G-modules that rests on an unproven path-basis assumption.
Furthermore, for /u1D44E, /u1D44F∈ /u1D43C/u1D43A, we will also use /u1D44F→ /u1D44Eto denote that /u1D44Fis adjacent to /u1D44Ein /u1D445(/u1D449, /u1D43A)
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Diagrammatic Categories which arise from Representation Graphs
A construction of diagrammatic categories from McKay quivers is presented, with a conditional equivalence theorem to the monoidal category of irreducible G-modules that rests on an unproven path-basis assumption.