4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.RT2022
A Centraliser Analogue to the Farahat-Higman Algebra
Samuel Creedon
We define a family of algebras \mathsf{FH}_{m} which generalise the Farahat-Higman algebra introduced in [FH59] by replacing the role of the center of the group algebra of the symm…
math.RT2021
Defining an Affine Partition Algebra
Samuel Creedon, Maud De Visscher
We define an affine partition algebra by generators and relations and prove a variety of basic results regarding this new algebra analogous to those of other affine diagram algebra…
math.RT2020★ 4 cited
The Center of the Partition Algebra
Samuel Creedon
In this paper we show that the center of the partition algebra , in the semisimple case, is given by the subalgebra of supersymmetric polynomials in the normal…