A lift of West’s stack-sorting map to partition diagrams
A lift of West’s stack-sorting map to partition diagrams
We introduce a lifting of West's stack-sorting map $s$ to partition diagrams, which are combinatorial objects indexing bases of partition algebras. Our lifting $\mathscr{S}$ of $s$ is such that $\mathscr{S}$ behaves in the same way as $s$ when restricted to diagram basis elements in the order-$n$ symmetric group algebra as …