Tonal partition algebras: fundamental and geometrical aspects of representation theory

Chwas Ahmed, Paul Martin, Volodymyr Mazorchuk

For $l,n\in \mathbb{N}$ we define tonal partition algebra $P_n^l$ over $\mathbb{Z}[\delta ]$. We construct modules $\{{\Delta }_{\underline{\mu }}{\}}_{\underline{\mu }}$ for $P_n^l$ over $\mathbb{Z}[\delta ]$…