Explicit Pieri Inclusions

By the Pieri rule, tensor product of an exterior power and a finite-dimensional irreducible representation general linear group has multiplicity-free decomposition. The embeddings constituents are called inclusions were first studied by Weyman in his thesis described explicitly Olver. More recently, these maps have appeared work Eisenbud, Fløystad, Sam to compute pure free resolutions for classical groups.
 In this paper, we give new closed form, non-recursive description inclusions. For partitions with bounded number distinct parts, resulting algorithm polynomial time complexity whereas previously known exponential complexity.