5 problems

Let $C$ be a generalized Cartan matrix, and let ${\overline{\mathcal{U}}}(\dot{{\mathbf f}t})$ denote the algebra whose fundamental variables are considered in Theorem. Arbitrary-t…

Let $A$ be a purely even, symmetrizable, indecomposable, generalized Cartan matrix of size $n$ with nonzero determinant whose off-diagonal entries lie between $-2$ and $0$, inclusi…

Let $A$ be a generalized Cartan matrix and let $\widehat{G}$ be the associated local pro-$p$ completion. An irreducible principal minor of $A$ is a principal submatrix that is irre…

Let $A=(a_{ij})$, $i,j\in I$, be a generalized Cartan matrix, and let $W=W_A$ be the corresponding crystallographic Coxeter group, with … for $i\ne j$. Let…

Let $A$ be a hyperbolic generalized Cartan matrix of rank $3$ and elliptic type, with a lattice Weyl vector, whose geometric realization is twisted to a symmetric generalized Carta…