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Our proof uses the connection between this variety and the punctual Hilbert scheme of a smooth algebraic surface.
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Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted representations.
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Let X be a smooth projective toric surface, and ${\mathbb H}^d(X)$ the Hilbert scheme parametrizing the length d zero-dimensional subschemes of X.
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We use the decomposition of a group into double cosets and a graph theoretic indexing scheme to derive algorithms that generalize the Cooley-Tukey FFT to arbitrary finite group.
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The new wavelets used in [23] were designed from the Loop scheme by using ideas and methods of [26, 27], where orthogonal wavelets with exponential decay and pre-wavelets with compact support were constructed.
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