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arXiv · 0903.5129

On the Fourier transform for a symmetric group homogeneous space

Ramakrishna Kakarala
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Abstract

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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Ramakrishna Kakarala. 2009-05-12. On the Fourier transform for a symmetric group homogeneous space. https://arxiv.org/abs/0903.5129

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