# Explicit Pieri Inclusions

@article{Hunziker2021ExplicitPI, title={Explicit Pieri Inclusions}, author={Markus Hunziker and John G. Miller and Mark Roger Sepanski}, journal={Electron. J. Comb.}, year={2021}, volume={28} }

By the Pieri rule, the tensor product of an exterior power and a finite-dimensional irreducible representation of a general linear group has a multiplicity-free decomposition. The embeddings of the constituents are called Pieri inclusions and were first studied by Weyman in his thesis and described explicitly by Olver. More recently, these maps have appeared in the work of Eisenbud, Fløystad, and Weyman and of Sam and Weyman to compute pure free resolutions for classical groups.
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