4 problems

Let $P_{ij}^\pm(m,f^\pm,B)$ be the polynomial expression associated with a triple $(m,f^\pm,B)$ as in the source's construction, where $\check{m}_{ij}$, $d_{ij}/d_i$, and $s_i$ are…

Let ${\mathfrak g}$ be a generalized Cartan matrix Lie algebra and let $\mu$ be the diagram automorphism used to define the twisted quantum affinization…

Injectivity conjecture. The homomorphisms $\varphi_+$ and $\varphi_-$ are injective. This is proved when $C$ has type $A_2$; injectivity for general symmetric generalized Cartan ma…

Let $I$ be the maximal graded ideal with trivial zero component defining a twisted generalized Weyl algebra, and consider the family of locally finite TGWAs constructed from a symm…