3 problems

Let $G_1,\ldots,G_{n-1}$ be the matrices describing the actions of the BMW generators $g_1,\ldots,g_{n-1}$ on the spanning elements of a vector space $W$, and define … Here…

Let $T$ denote the left action on the Lawrence–Krammer space of the sum of all conjugates of the BMW generators $e_i$ by products of the generators $g_i$. Fix $r\in\mathbb{C}$, and…

Let $n$ be an integer with $n\geq 3$. Let $\mathcal{H}_{F,r^2}(n)$ be the BMW algebra of type $A_{n-1}$ over $F$, and let $\mathcal{V}^{(n)}$ be the Lawrence–Krammer space. Assume…