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• W2282630290 abstract "We define the notion of an inverse semigroup S and the notion of the Fourier transform on S. We exhibit a method for constructing Fast Fourier transforms for finite inverse semigroups. Our construction uses partially ordered sets, Mobius inversion, and group-based FFTs. We give an explicit construction for the rook monoid, which is the collection of placements of non-attacking rooks (1’s) on an n×n chessboard (i.e., in an n×n matrix, with all other entries being 0), under the operation of matrix multiplication. This talk should be accessible to graduate students. 1200597795" @default.
• W2282630290 created "2016-06-24" @default.
• W2282630290 creator A5078452739 @default.
• W2282630290 date "2014-10-03" @default.
• W2282630290 modified "2023-09-24" @default.
• W2282630290 title "Fast Fourier transforms for inverse semigroups." @default.
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• W2282630290 doi "https://doi.org/10.1349/ddlp.215" @default.
• W2282630290 hasPublicationYear "2014" @default.
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