6 problems

Let $\mathsf{X}_i^{(k)}$ denote the nonclassical divided-power web at position $i$ in $\mathbf{Web}(\mathfrak{so}_{2n+1})$, with $1\leq k\leq n$. Divided-power exchange relation co…

Let $\mathfrak{g}$ be a simply laced simple Lie algebra and let $\tau$ be a diagram automorphism. Let $\mathfrak{g}_\tau$ be the non-simply laced Lie algebra Langlands dual to the…

Let $\Bbbk$ be a field, let the Morita equivalence in Theorem be the equivalence associated with the cyclotomic web construction, and let the Morita equivalence in Theorem be the e…

Let $\Bbbk$ be a field, let $\mathpzc{Web}_{\mathbf u}$ be the cyclotomic web category, let $W(\Lambda)$ be the associated $W$-algebra, and let $\widehat\Phi$ be the functor from…

Let $m$ be a positive integer, let $\bLambda_{\text{st}}(m)$ denote the set of objects under consideration, and let $\mathpzc{Web}^\bullet$ be the affine web category. For…

Let $B$ be a colored, oriented braid, and let $P(B)$ be the invariant of braid conjugacy classes with values in … where $\mathcal{I}$ is the ideal of relations between colored circ…