Erdős-Ko-Rado-type results over Jq(n, d), Hq(n, d) and their designs Original Research Article

In terms of the notion of a specific class of ranked semilattices, called regular quantum matroids, we prove the Erdős-Ko-Rado-type results in a unified way for the association schemes Jq(n, d) of vector spaces and Hq(n, d) of bilinear forms, together with their Delsarte t-designs, respectively.