2 problems

Let $N\geq 0$, let $K$ be the field of fractions of $\mathbb{Q}[A,B,C,D,q]/(A-q^{N}D)$, and let $W^{0}$ be the space containing words $(u_{1}v_{1})\cdots(u_{k}v_{k})$ with letters…

Finite q-duality conjecture. For every word $w=u_{1}\cdots u_{k}\in\mathfrak{h}^{0}$,