4 problems

Let $P_{BF}^{(1,1)}$ be the relative parabose set generated by $b^{\pm}$ and $f^{\pm}$. Consider representations on a complex, infinite-dimensional pre-Hilbert space with adjointne…

Let $R$ be a unitary involutive $R$-matrix. An invertible matrix $\alpha$ is assumed to satisfy the relation referred to as Eq. (Ralphadef-graphical), and $\theta$ denotes the part…

Let $\ket{G}$ be a gapped ground state of a known two- or three-dimensional topological phase. Let $I_{\max}(\ket{G})$ be the maximal amount of information transferable in one roun…

Free-resolution conjecture. There exists a complex of free $U{\mathfrak n}_{n|m}$-modules whose cohomology is ${\mathcal V}_{n|m}(p)$.