2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139240This paper aims to give a short but self-contained introduction into the theory of (wheeled) props, properads, dioperads and operads, and illustrate some of its key ideas in terms of a prop(erad)ic interpretation of simplicial and permutahedra cell complexes with subsequent applications to the Hochschild-Kostant-Rosenberg type isomorphisms.21 pagesQuantum AlgebraPermutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complextext