The Erdős-Ko-Rado basis for a Leonard system

Hajime Tanaka

We introduce and discuss an Erdős-Ko-Rado basis for the underlying vector space of a Leonard system $\Phi =(A;A^{\ast };\{E_i{\}}_{i=0}^d;\{E_i^{\ast }{\}}_{i=0}^d)$ that satisfies a mild condit…