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arXiv · 0709.4175

Fast Fourier Transforms for the Rook Monoid

Martin Malandro·Daniel N. Rockmore
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Abstract

We define the notion of the Fourier transform for the rook monoid (also called the symmetric inverse semigroup) and provide two efficient divide-and-conquer algorithms (fast Fourier transforms, or FFTs) for computing it. This paper marks the first extension of group FFTs to non-group semigroups.

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BibTeXRIS

Martin Malandro, Daniel N. Rockmore. 2007-09-26. Fast Fourier Transforms for the Rook Monoid. https://doi.org/10.1090/s0002-9947-09-04838-7

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