arXiv:1809.08128 Abstract | arXiv Analytics

arXiv:1809.08128 [math.RT]Abstract References Reviews Resources

The partition algebra and the plethysm coefficients

Published 2018-09-21Version 1

We propose a new approach to study plethysm coefficients by using the Schur-Weyl duality between the symmetric group and the partition algebra. This allows us to explain the stability properties of plethysm and Kronecker coefficients in a simple and uniform fashion for the first time. We prove the strengthened Foulkes' conjecture for stable plethysm coefficients in an elementary fashion.

Categories: math.RT, math.CO

Keywords: partition algebra, study plethysm coefficients, first time, elementary fashion, schur-weyl duality

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