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How about this: listVonMat[M_] := Module[{n = Length[M], inter1, inter2}, inter1 = TakeDrop[Table[M, n], #] & /@ Range[n - 1, 0, -1]; inter2 = {Times @@ Tr /@ #1, Tr @ (Dot @@ #2 … @@@ ({Times @@ Tr /@ #1, Tr @ (Dot @@ #2)} & @@@ %) and one gets {{{a, a, a}, {a}}, {{a, a}, {a, a}}, {{a}, {a, a, a}}, {{}, {a, a, a, a}}} {Tr[a]^4, Tr[a]^2 Tr[a.a], Tr[a] Tr[a.a.a], Tr[a.a.a.a]} …
answered May 18 '18 by Αλέξανδρος Ζεγγ