Iwahori-Hecke algebras acting on tensor space by $q$-deformed letter permutations and $q$-partition algebras

Geetha Thangavelu, Richard Dipper

Let $R$ be a commutative ring with identity and let $V$ be a free $R$-module of rank $n$ for some $n\in \mathbb{N}$. Fixing an $R$-basis $\mathcal{E}$ of $V$, the symmetric group $\…