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Defining an affine partition algebra

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The partition algebra was originally defined independently by Martin and Jones in the 1990s. It is a diagram algebra and satisfies a double centraliser property with the symmetric group. In this talk, I will define an affine version of the partition algebra by generators and relations and describe some of its properties. I will also relate it to the affine partition category recently defined by Brundan and Vargas. This is joint work with Samuel Creedon.

This talk is part of the Algebra seminar series.

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