On the Fourier transform for a symmetric group homogeneous space
Representation Theory
2009-05-12 v3 Group Theory
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 -dimensional vectors, and shows that the transform requires multiplications and the same number of additions.
Keywords
Cite
@article{arxiv.0903.5129,
title = {On the Fourier transform for a symmetric group homogeneous space},
author = {Ramakrishna Kakarala},
journal= {arXiv preprint arXiv:0903.5129},
year = {2009}
}
Comments
Fixed title, found some errors in the math of the previous version (not serious)