# Jucys–Murphy elements and a presentation for partition algebras

@article{Enyang2013JucysMurphyEA, title={Jucys–Murphy elements and a presentation for partition algebras}, author={John Enyang}, journal={Journal of Algebraic Combinatorics}, year={2013}, volume={37}, pages={401-454} }

We give a new presentation for the partition algebras. This presentation was discovered in the course of establishing an inductive formula for the partition algebra Jucys–Murphy elements defined by Halverson and Ram (Eur. J. Comb. 26:869–921, 2005). Using Schur–Weyl duality we show that our recursive formula and the original definition of Jucys–Murphy elements given by Halverson and Ram are equivalent. The new presentation and inductive formula for the partition algebra Jucys–Murphy elements… CONTINUE READING

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## Presentations for rook partition monoids and algebras and their singular ideals

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## Skew cell modules for diagram algebras

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