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The following, based on the post 'Non-Commutative Sorting in Mathematica', works well. I redefined the operator product so that it produces another object with head op and then generalized the definition of the action of these op objects. op[x__] ** op[y__] ^:= op[x, y] op[a] * fv[y__] ^:= a[fv[y]]; op[x__, a] * fv[y__] ^:= op[x]*a[fv[y]]; ...and similarly ...

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