Kostka semigroups and generalized Dyck paths

Jaehyung Kim · arXiv (Cornell University) · 2021

We prove a conjecture of S. Gao-J. Kiers-G. Orelowitz-A. Yong which asserts the reducibility of certain generalized Dyck paths. This gives a strengthening, and new proof, for their Width Bound Theorem on the Hilbert basis of the Kostka semigroup.

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