On the Fourier transform for a symmetric group homogeneous space

Details On the Fourier transform for a symmetric group homogeneous space On the Fourier transform for a symmetric group homogeneous space

2009-03-30

arxiv.org/abs/0903.5129v3

Mathematics

Representation Theory

Fixed title, found some errors in the math of the previous version (not serious)

Scientific paper

By using properties of the Young orthogonal representation, this paper
derives a simple form for the Fourier transform of permutations acting on the
homogeneous space of $n$-dimensional vectors, and shows that the transform
requires $2n-2$ multiplications and the same number of additions.

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