3 problems

Let $q>0$ and let $bb\in P_+$; write $V_\mu$ for the irreducible $U_q\mathfrak g$-module of highest weight $\mu$, with highest-weight and lowest-weight projections denoted by…

Arveson's commutativity conjecture. The algebra $\mathcal{O}_\mathfrak{H}$ is commutative.

Let $I$ be a homogeneous ideal with $I\subseteq \mathbb{C}[z]$, and let $X_I$ be the subproduct system associated with $I$; write $\mathcal{O}_{X_I}$ for its associated Cuntz algeb…