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Abstract:
We explicitly construct the eigenfunctions of the Laplacian for the fuzzy Grassmannian spaces GrF2;n. We calculate the spectrum and find it be a truncation of the continuum case. As a byproduct of our approach we find a novel expression for the Grassmannian harmonics in terms of Plucker coordinates which can be interpreted as free Schrodinger particle wave functions on Gr2;n.