6 problems

Admissibility decomposition conjecture. For any $\xi\in(P_{cl}^+)_l$, there exists a disjoint union decomposition, not necessarily unique,

Representation-theoretic solvability conjecture. The representation theory of the elliptic quantum groups of both the vertex type ${\cal A}_{q,p}(\widehat{\operatorname{sl}}_N)$ an…

Let $F$ be a non-archimedean local field, and consider the solvable lattice model constructed by Brubaker et al. for the double cover of $\mathrm{Sp}(2n,F)$. Its partition function…

A solvable fusion interaction-round-the-face lattice model with four blocks has Boltzmann weights satisfying a degree-four polynomial relation, and its braid operators generate a c…

For a model with $n$ blocks, let the $n$-CB algebra be the corresponding conformal braiding algebra. Let $\mathrm{BMW}^{\prime}$ be the BMW algebra together with the Temperley–Lieb…

A solvable IRF lattice model with $n$ blocks, where $n\geq 3$, is considered together with its associated algebraic generators and the Birman–Murakami–Wenzl (BMW) algebra, but with…