M = ad(A,U,e)
The adjoint action of a scalar linear combination of the entries of allgens(A,d-1) U, regarded as an element of Pi^d, acts by bracket multiplication with source Pi^e and target Pi^{d+e}. The output is a matrix whose columns correspond to a generalized row of the output of bracketMatrix. bracketmatrix
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The columns of this matrix are the functionals that are the sum of the three rows of the bracket multiplication table:
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The object ad is a method function.