Key points are not available for this paper at this time.
Cylindric diagrams admit the structure of infinite d-complete posets with natural ordering. The purpose of this paper is to provide a realization of a cylindric diagram as a subset of an affine root system of type A via colored hook lengths and to present several characterizations of its poset structure. Furthermore, the set of order ideals of a cylindric diagram is described as a weak Bruhat interval of the affine Weyl group.
Suzuki et al. (Fri,) studied this question.