Dimension formula for tied Party-Hecke algebras
Let TPnT\mathcal{P}_nTPn be the tied party monoid, and let EPn(p,q)\mathcal{EP}_n(p,q)EPn(p,q) be the tied Party-Hecke algebra generated by J1,…,Jn−1J_1,\ldots,J_{n-1}J1,…,Jn−1, F1,…,Fn−1F_1,\ldots,F_{n-1}F1,…,Fn−1, and…