Dual Polar Graphs, a nil-DAHA of Rank One, and Non-Symmetric Dual q-Krawtchouk Polynomials

Jae-Ho Lee, Hajime Tanaka

Let $\Gamma$ be a dual polar graph with diameter $D⩾3$, having as vertices the maximal isotropic subspaces of a finite-dimensional vector space over the finite field $\mathbb{…