Evaluation and spanning sets of confluent Vandermonde forms

An arbitrary derivative of a Vandermonde form in N variables is given as [ n 1 ⋯ ], where the ith variable differentiated − i times, ≤ 1. A simple decoding table introduced to evaluate it by inspection. The special cases 0 i+1 for < are one-to-one correspondence with ribbon Young diagrams. respective N! standard tableaux map complete graded basis space S -harmonic polynomials. mapping realized an efficient algorithm, generating any one bases elements, both indexed permutations. result placed context geometric interpretation Hilbert many-fermion wave functions.