Jucys-Murphy elements of partition algebras for the rook monoid

Ashish Mishra, Shraddha Srivastava

Kudryavtseva and Mazorchuk exhibited Schur-Weyl duality between the rook monoid algebra $\mathbb{C}{R}_n$ and the subalgebra $\mathbb{C}{I}_k$ of the partition algebra $\mathbb{C} A_k(…