Kostka semigroups and generalized Dyck paths

Abstract

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.

14 pages

References in corpus (1)

• The Kostka semigroup and its Hilbert basis